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Finding the Third Proportional to 777,714 and 1,199,691

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Solution

The third proportional to 777,714 and 1,199,691 is: 1,850,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,714 : 1,199,691 = 1,199,691 : x
  2. Step 2: Convert to fraction form
    777,714/1,199,691 = 1,199,691/x
  3. Step 3: Cross multiply
    777,714x = 1,199,691 × 1,199,691
  4. Step 4: Simplify right side
    777,714x = 1,439,258,495,481
  5. Step 5: Solve for x
    x = 1,439,258,495,481/777,714
  6. Step 6: Final answer
    x = 1,850,626.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.