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Finding the Third Proportional to 654,096,485.25 and 1,005,393,596.63

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Solution

The third proportional to 654,096,485.25 and 1,005,393,596.63 is: 1,545,362,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,096,485.25 : 1,005,393,596.63 = 1,005,393,596.63 : x
  2. Step 2: Convert to fraction form
    654,096,485.25/1,005,393,596.63 = 1,005,393,596.63/x
  3. Step 3: Cross multiply
    654,096,485.25x = 1,005,393,596.63 × 1,005,393,596.63
  4. Step 4: Simplify right side
    654,096,485.25x = 1,010,816,284,134,553,216
  5. Step 5: Solve for x
    x = 1,010,816,284,134,553,216/654,096,485.25
  6. Step 6: Final answer
    x = 1,545,362,659.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.