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Finding the Third Proportional to 2,031,577.88 and 4,231,301.63

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Solution

The third proportional to 2,031,577.88 and 4,231,301.63 is: 8,812,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,577.88 : 4,231,301.63 = 4,231,301.63 : x
  2. Step 2: Convert to fraction form
    2,031,577.88/4,231,301.63 = 4,231,301.63/x
  3. Step 3: Cross multiply
    2,031,577.88x = 4,231,301.63 × 4,231,301.63
  4. Step 4: Simplify right side
    2,031,577.88x = 17,903,913,441,727.64
  5. Step 5: Solve for x
    x = 17,903,913,441,727.64/2,031,577.88
  6. Step 6: Final answer
    x = 8,812,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.