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Finding the Third Proportional to 688,864 and 1,459,676

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Solution

The third proportional to 688,864 and 1,459,676 is: 3,092,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,864 : 1,459,676 = 1,459,676 : x
  2. Step 2: Convert to fraction form
    688,864/1,459,676 = 1,459,676/x
  3. Step 3: Cross multiply
    688,864x = 1,459,676 × 1,459,676
  4. Step 4: Simplify right side
    688,864x = 2,130,654,024,976
  5. Step 5: Solve for x
    x = 2,130,654,024,976/688,864
  6. Step 6: Final answer
    x = 3,092,996.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.