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Finding the Third Proportional to 688,693 and 1,460,754

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Solution

The third proportional to 688,693 and 1,460,754 is: 3,098,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,693 : 1,460,754 = 1,460,754 : x
  2. Step 2: Convert to fraction form
    688,693/1,460,754 = 1,460,754/x
  3. Step 3: Cross multiply
    688,693x = 1,460,754 × 1,460,754
  4. Step 4: Simplify right side
    688,693x = 2,133,802,248,516
  5. Step 5: Solve for x
    x = 2,133,802,248,516/688,693
  6. Step 6: Final answer
    x = 3,098,335.90

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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.