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Finding the Third Proportional to 881,127 and 1,877,463

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Solution

The third proportional to 881,127 and 1,877,463 is: 4,000,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,127 : 1,877,463 = 1,877,463 : x
  2. Step 2: Convert to fraction form
    881,127/1,877,463 = 1,877,463/x
  3. Step 3: Cross multiply
    881,127x = 1,877,463 × 1,877,463
  4. Step 4: Simplify right side
    881,127x = 3,524,867,316,369
  5. Step 5: Solve for x
    x = 3,524,867,316,369/881,127
  6. Step 6: Final answer
    x = 4,000,407.79

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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.