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Finding the Third Proportional to 2,543,642 and 5,390,548

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Solution

The third proportional to 2,543,642 and 5,390,548 is: 11,423,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,642 : 5,390,548 = 5,390,548 : x
  2. Step 2: Convert to fraction form
    2,543,642/5,390,548 = 5,390,548/x
  3. Step 3: Cross multiply
    2,543,642x = 5,390,548 × 5,390,548
  4. Step 4: Simplify right side
    2,543,642x = 29,058,007,740,304
  5. Step 5: Solve for x
    x = 29,058,007,740,304/2,543,642
  6. Step 6: Final answer
    x = 11,423,780.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.