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Finding the Third Proportional to 2,545,114 and 5,454,553

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Solution

The third proportional to 2,545,114 and 5,454,553 is: 11,689,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,114 : 5,454,553 = 5,454,553 : x
  2. Step 2: Convert to fraction form
    2,545,114/5,454,553 = 5,454,553/x
  3. Step 3: Cross multiply
    2,545,114x = 5,454,553 × 5,454,553
  4. Step 4: Simplify right side
    2,545,114x = 29,752,148,429,809
  5. Step 5: Solve for x
    x = 29,752,148,429,809/2,545,114
  6. Step 6: Final answer
    x = 11,689,907.97

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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.