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Finding the Third Proportional to 677,860 and 1,050,463

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Solution

The third proportional to 677,860 and 1,050,463 is: 1,627,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,860 : 1,050,463 = 1,050,463 : x
  2. Step 2: Convert to fraction form
    677,860/1,050,463 = 1,050,463/x
  3. Step 3: Cross multiply
    677,860x = 1,050,463 × 1,050,463
  4. Step 4: Simplify right side
    677,860x = 1,103,472,514,369
  5. Step 5: Solve for x
    x = 1,103,472,514,369/677,860
  6. Step 6: Final answer
    x = 1,627,876.72

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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.