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Finding the Third Proportional to 688,011 and 1,011,792

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Solution

The third proportional to 688,011 and 1,011,792 is: 1,487,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,011 : 1,011,792 = 1,011,792 : x
  2. Step 2: Convert to fraction form
    688,011/1,011,792 = 1,011,792/x
  3. Step 3: Cross multiply
    688,011x = 1,011,792 × 1,011,792
  4. Step 4: Simplify right side
    688,011x = 1,023,723,051,264
  5. Step 5: Solve for x
    x = 1,023,723,051,264/688,011
  6. Step 6: Final answer
    x = 1,487,945.76

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