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Finding the Third Proportional to 779,406 and 1,169,217

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Solution

The third proportional to 779,406 and 1,169,217 is: 1,753,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,406 : 1,169,217 = 1,169,217 : x
  2. Step 2: Convert to fraction form
    779,406/1,169,217 = 1,169,217/x
  3. Step 3: Cross multiply
    779,406x = 1,169,217 × 1,169,217
  4. Step 4: Simplify right side
    779,406x = 1,367,068,393,089
  5. Step 5: Solve for x
    x = 1,367,068,393,089/779,406
  6. Step 6: Final answer
    x = 1,753,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.