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Finding the Third Proportional to 715,384 and 1,034,464

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Solution

The third proportional to 715,384 and 1,034,464 is: 1,495,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,384 : 1,034,464 = 1,034,464 : x
  2. Step 2: Convert to fraction form
    715,384/1,034,464 = 1,034,464/x
  3. Step 3: Cross multiply
    715,384x = 1,034,464 × 1,034,464
  4. Step 4: Simplify right side
    715,384x = 1,070,115,767,296
  5. Step 5: Solve for x
    x = 1,070,115,767,296/715,384
  6. Step 6: Final answer
    x = 1,495,862.04

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.