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Finding the Third Proportional to 438,419 and 911,287

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Solution

The third proportional to 438,419 and 911,287 is: 1,894,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,419 : 911,287 = 911,287 : x
  2. Step 2: Convert to fraction form
    438,419/911,287 = 911,287/x
  3. Step 3: Cross multiply
    438,419x = 911,287 × 911,287
  4. Step 4: Simplify right side
    438,419x = 830,443,996,369
  5. Step 5: Solve for x
    x = 830,443,996,369/438,419
  6. Step 6: Final answer
    x = 1,894,178.85

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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.