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Finding the Third Proportional to 1,448,725.50 and 3,146,765.63

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Solution

The third proportional to 1,448,725.50 and 3,146,765.63 is: 6,835,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,725.50 : 3,146,765.63 = 3,146,765.63 : x
  2. Step 2: Convert to fraction form
    1,448,725.50/3,146,765.63 = 3,146,765.63/x
  3. Step 3: Cross multiply
    1,448,725.50x = 3,146,765.63 × 3,146,765.63
  4. Step 4: Simplify right side
    1,448,725.50x = 9,902,133,898,681.64
  5. Step 5: Solve for x
    x = 9,902,133,898,681.64/1,448,725.50
  6. Step 6: Final answer
    x = 6,835,065.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.