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Finding the Third Proportional to 688,731 and 1,085,919

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Solution

The third proportional to 688,731 and 1,085,919 is: 1,712,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,731 : 1,085,919 = 1,085,919 : x
  2. Step 2: Convert to fraction form
    688,731/1,085,919 = 1,085,919/x
  3. Step 3: Cross multiply
    688,731x = 1,085,919 × 1,085,919
  4. Step 4: Simplify right side
    688,731x = 1,179,220,074,561
  5. Step 5: Solve for x
    x = 1,179,220,074,561/688,731
  6. Step 6: Final answer
    x = 1,712,163.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.