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Finding the Third Proportional to 688,691 and 1,460,750

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Solution

The third proportional to 688,691 and 1,460,750 is: 3,098,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,691 : 1,460,750 = 1,460,750 : x
  2. Step 2: Convert to fraction form
    688,691/1,460,750 = 1,460,750/x
  3. Step 3: Cross multiply
    688,691x = 1,460,750 × 1,460,750
  4. Step 4: Simplify right side
    688,691x = 2,133,790,562,500
  5. Step 5: Solve for x
    x = 2,133,790,562,500/688,691
  6. Step 6: Final answer
    x = 3,098,327.93

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Why These Related Problems?

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