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Finding the Third Proportional to 529,714.69 and 1,132,147.13

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Solution

The third proportional to 529,714.69 and 1,132,147.13 is: 2,419,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,714.69 : 1,132,147.13 = 1,132,147.13 : x
  2. Step 2: Convert to fraction form
    529,714.69/1,132,147.13 = 1,132,147.13/x
  3. Step 3: Cross multiply
    529,714.69x = 1,132,147.13 × 1,132,147.13
  4. Step 4: Simplify right side
    529,714.69x = 1,281,757,112,645.77
  5. Step 5: Solve for x
    x = 1,281,757,112,645.77/529,714.69
  6. Step 6: Final answer
    x = 2,419,712.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.