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Finding the Third Proportional to 2,712,384 and 4,202,532

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Solution

The third proportional to 2,712,384 and 4,202,532 is: 6,511,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712,384 : 4,202,532 = 4,202,532 : x
  2. Step 2: Convert to fraction form
    2,712,384/4,202,532 = 4,202,532/x
  3. Step 3: Cross multiply
    2,712,384x = 4,202,532 × 4,202,532
  4. Step 4: Simplify right side
    2,712,384x = 17,661,275,211,024
  5. Step 5: Solve for x
    x = 17,661,275,211,024/2,712,384
  6. Step 6: Final answer
    x = 6,511,347.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.