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Finding the Third Proportional to 1,072,365.75 and 1,572,463.13

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Solution

The third proportional to 1,072,365.75 and 1,572,463.13 is: 2,305,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,365.75 : 1,572,463.13 = 1,572,463.13 : x
  2. Step 2: Convert to fraction form
    1,072,365.75/1,572,463.13 = 1,572,463.13/x
  3. Step 3: Cross multiply
    1,072,365.75x = 1,572,463.13 × 1,572,463.13
  4. Step 4: Simplify right side
    1,072,365.75x = 2,472,640,279,484.77
  5. Step 5: Solve for x
    x = 2,472,640,279,484.77/1,072,365.75
  6. Step 6: Final answer
    x = 2,305,780.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.