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Finding the Third Proportional to 655,711 and 1,042,642

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Solution

The third proportional to 655,711 and 1,042,642 is: 1,657,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,711 : 1,042,642 = 1,042,642 : x
  2. Step 2: Convert to fraction form
    655,711/1,042,642 = 1,042,642/x
  3. Step 3: Cross multiply
    655,711x = 1,042,642 × 1,042,642
  4. Step 4: Simplify right side
    655,711x = 1,087,102,340,164
  5. Step 5: Solve for x
    x = 1,087,102,340,164/655,711
  6. Step 6: Final answer
    x = 1,657,898.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.