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Finding the Third Proportional to 714,762 and 1,569,491

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Solution

The third proportional to 714,762 and 1,569,491 is: 3,446,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,762 : 1,569,491 = 1,569,491 : x
  2. Step 2: Convert to fraction form
    714,762/1,569,491 = 1,569,491/x
  3. Step 3: Cross multiply
    714,762x = 1,569,491 × 1,569,491
  4. Step 4: Simplify right side
    714,762x = 2,463,301,999,081
  5. Step 5: Solve for x
    x = 2,463,301,999,081/714,762
  6. Step 6: Final answer
    x = 3,446,324.79

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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.