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Finding the Third Proportional to 688,060 and 1,062,769

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Solution

The third proportional to 688,060 and 1,062,769 is: 1,641,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,060 : 1,062,769 = 1,062,769 : x
  2. Step 2: Convert to fraction form
    688,060/1,062,769 = 1,062,769/x
  3. Step 3: Cross multiply
    688,060x = 1,062,769 × 1,062,769
  4. Step 4: Simplify right side
    688,060x = 1,129,477,947,361
  5. Step 5: Solve for x
    x = 1,129,477,947,361/688,060
  6. Step 6: Final answer
    x = 1,641,539.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.