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Finding the Third Proportional to 1,191,542 and 2,553,656

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Solution

The third proportional to 1,191,542 and 2,553,656 is: 5,472,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,542 : 2,553,656 = 2,553,656 : x
  2. Step 2: Convert to fraction form
    1,191,542/2,553,656 = 2,553,656/x
  3. Step 3: Cross multiply
    1,191,542x = 2,553,656 × 2,553,656
  4. Step 4: Simplify right side
    1,191,542x = 6,521,158,966,336
  5. Step 5: Solve for x
    x = 6,521,158,966,336/1,191,542
  6. Step 6: Final answer
    x = 5,472,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.