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Finding the Third Proportional to 526,515.75 and 1,137,016.13

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Solution

The third proportional to 526,515.75 and 1,137,016.13 is: 2,455,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,515.75 : 1,137,016.13 = 1,137,016.13 : x
  2. Step 2: Convert to fraction form
    526,515.75/1,137,016.13 = 1,137,016.13/x
  3. Step 3: Cross multiply
    526,515.75x = 1,137,016.13 × 1,137,016.13
  4. Step 4: Simplify right side
    526,515.75x = 1,292,805,668,510.02
  5. Step 5: Solve for x
    x = 1,292,805,668,510.02/526,515.75
  6. Step 6: Final answer
    x = 2,455,397.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.