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Finding the Third Proportional to 452,557.13 and 991,531.13

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Solution

The third proportional to 452,557.13 and 991,531.13 is: 2,172,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,557.13 : 991,531.13 = 991,531.13 : x
  2. Step 2: Convert to fraction form
    452,557.13/991,531.13 = 991,531.13/x
  3. Step 3: Cross multiply
    452,557.13x = 991,531.13 × 991,531.13
  4. Step 4: Simplify right side
    452,557.13x = 983,133,971,843.77
  5. Step 5: Solve for x
    x = 983,133,971,843.77/452,557.13
  6. Step 6: Final answer
    x = 2,172,397.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.