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Finding the Third Proportional to 1,429,644.94 and 3,142,653.19

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Solution

The third proportional to 1,429,644.94 and 3,142,653.19 is: 6,908,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,644.94 : 3,142,653.19 = 3,142,653.19 : x
  2. Step 2: Convert to fraction form
    1,429,644.94/3,142,653.19 = 3,142,653.19/x
  3. Step 3: Cross multiply
    1,429,644.94x = 3,142,653.19 × 3,142,653.19
  4. Step 4: Simplify right side
    1,429,644.94x = 9,876,269,056,903.91
  5. Step 5: Solve for x
    x = 9,876,269,056,903.91/1,429,644.94
  6. Step 6: Final answer
    x = 6,908,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.