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Finding the Third Proportional to 704,115 and 1,055,691

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Solution

The third proportional to 704,115 and 1,055,691 is: 1,582,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,115 : 1,055,691 = 1,055,691 : x
  2. Step 2: Convert to fraction form
    704,115/1,055,691 = 1,055,691/x
  3. Step 3: Cross multiply
    704,115x = 1,055,691 × 1,055,691
  4. Step 4: Simplify right side
    704,115x = 1,114,483,487,481
  5. Step 5: Solve for x
    x = 1,114,483,487,481/704,115
  6. Step 6: Final answer
    x = 1,582,814.58

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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.