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Finding the Third Proportional to 688,687.88 and 1,460,745

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Solution

The third proportional to 688,687.88 and 1,460,745 is: 3,098,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,687.88 : 1,460,745 = 1,460,745 : x
  2. Step 2: Convert to fraction form
    688,687.88/1,460,745 = 1,460,745/x
  3. Step 3: Cross multiply
    688,687.88x = 1,460,745 × 1,460,745
  4. Step 4: Simplify right side
    688,687.88x = 2,133,775,955,025
  5. Step 5: Solve for x
    x = 2,133,775,955,025/688,687.88
  6. Step 6: Final answer
    x = 3,098,320.78

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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.