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Finding the Third Proportional to 2,681,392 and 5,713,580

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Solution

The third proportional to 2,681,392 and 5,713,580 is: 12,174,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,392 : 5,713,580 = 5,713,580 : x
  2. Step 2: Convert to fraction form
    2,681,392/5,713,580 = 5,713,580/x
  3. Step 3: Cross multiply
    2,681,392x = 5,713,580 × 5,713,580
  4. Step 4: Simplify right side
    2,681,392x = 32,644,996,416,400
  5. Step 5: Solve for x
    x = 32,644,996,416,400/2,681,392
  6. Step 6: Final answer
    x = 12,174,645.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.