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Finding the Third Proportional to 747,072 and 1,727,712

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Solution

The third proportional to 747,072 and 1,727,712 is: 3,995,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,072 : 1,727,712 = 1,727,712 : x
  2. Step 2: Convert to fraction form
    747,072/1,727,712 = 1,727,712/x
  3. Step 3: Cross multiply
    747,072x = 1,727,712 × 1,727,712
  4. Step 4: Simplify right side
    747,072x = 2,984,988,754,944
  5. Step 5: Solve for x
    x = 2,984,988,754,944/747,072
  6. Step 6: Final answer
    x = 3,995,583.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.