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Finding the Third Proportional to 698,166 and 1,085,514

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Solution

The third proportional to 698,166 and 1,085,514 is: 1,687,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,166 : 1,085,514 = 1,085,514 : x
  2. Step 2: Convert to fraction form
    698,166/1,085,514 = 1,085,514/x
  3. Step 3: Cross multiply
    698,166x = 1,085,514 × 1,085,514
  4. Step 4: Simplify right side
    698,166x = 1,178,340,644,196
  5. Step 5: Solve for x
    x = 1,178,340,644,196/698,166
  6. Step 6: Final answer
    x = 1,687,765.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.