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Finding the Third Proportional to 655,680 and 1,042,596

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Solution

The third proportional to 655,680 and 1,042,596 is: 1,657,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,680 : 1,042,596 = 1,042,596 : x
  2. Step 2: Convert to fraction form
    655,680/1,042,596 = 1,042,596/x
  3. Step 3: Cross multiply
    655,680x = 1,042,596 × 1,042,596
  4. Step 4: Simplify right side
    655,680x = 1,087,006,419,216
  5. Step 5: Solve for x
    x = 1,087,006,419,216/655,680
  6. Step 6: Final answer
    x = 1,657,830.68

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