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Finding the Third Proportional to 693,098 and 1,102,735

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Solution

The third proportional to 693,098 and 1,102,735 is: 1,754,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,098 : 1,102,735 = 1,102,735 : x
  2. Step 2: Convert to fraction form
    693,098/1,102,735 = 1,102,735/x
  3. Step 3: Cross multiply
    693,098x = 1,102,735 × 1,102,735
  4. Step 4: Simplify right side
    693,098x = 1,216,024,480,225
  5. Step 5: Solve for x
    x = 1,216,024,480,225/693,098
  6. Step 6: Final answer
    x = 1,754,476.97

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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.