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Finding the Third Proportional to 410,652 and 891,448

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Solution

The third proportional to 410,652 and 891,448 is: 1,935,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652 : 891,448 = 891,448 : x
  2. Step 2: Convert to fraction form
    410,652/891,448 = 891,448/x
  3. Step 3: Cross multiply
    410,652x = 891,448 × 891,448
  4. Step 4: Simplify right side
    410,652x = 794,679,536,704
  5. Step 5: Solve for x
    x = 794,679,536,704/410,652
  6. Step 6: Final answer
    x = 1,935,165.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.