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Finding the Third Proportional to 517,514.06 and 1,113,760.13

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Solution

The third proportional to 517,514.06 and 1,113,760.13 is: 2,396,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,514.06 : 1,113,760.13 = 1,113,760.13 : x
  2. Step 2: Convert to fraction form
    517,514.06/1,113,760.13 = 1,113,760.13/x
  3. Step 3: Cross multiply
    517,514.06x = 1,113,760.13 × 1,113,760.13
  4. Step 4: Simplify right side
    517,514.06x = 1,240,461,616,040.02
  5. Step 5: Solve for x
    x = 1,240,461,616,040.02/517,514.06
  6. Step 6: Final answer
    x = 2,396,962.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.