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Finding the Third Proportional to 1,086,279.75 and 1,643,397.38

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Solution

The third proportional to 1,086,279.75 and 1,643,397.38 is: 2,486,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,279.75 : 1,643,397.38 = 1,643,397.38 : x
  2. Step 2: Convert to fraction form
    1,086,279.75/1,643,397.38 = 1,643,397.38/x
  3. Step 3: Cross multiply
    1,086,279.75x = 1,643,397.38 × 1,643,397.38
  4. Step 4: Simplify right side
    1,086,279.75x = 2,700,754,932,156.89
  5. Step 5: Solve for x
    x = 2,700,754,932,156.89/1,086,279.75
  6. Step 6: Final answer
    x = 2,486,242.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.