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Finding the Third Proportional to 449,489 and 965,681

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Solution

The third proportional to 449,489 and 965,681 is: 2,074,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,489 : 965,681 = 965,681 : x
  2. Step 2: Convert to fraction form
    449,489/965,681 = 965,681/x
  3. Step 3: Cross multiply
    449,489x = 965,681 × 965,681
  4. Step 4: Simplify right side
    449,489x = 932,539,793,761
  5. Step 5: Solve for x
    x = 932,539,793,761/449,489
  6. Step 6: Final answer
    x = 2,074,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.