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Finding the Third Proportional to 413,552 and 900,940

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Solution

The third proportional to 413,552 and 900,940 is: 1,962,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,552 : 900,940 = 900,940 : x
  2. Step 2: Convert to fraction form
    413,552/900,940 = 900,940/x
  3. Step 3: Cross multiply
    413,552x = 900,940 × 900,940
  4. Step 4: Simplify right side
    413,552x = 811,692,883,600
  5. Step 5: Solve for x
    x = 811,692,883,600/413,552
  6. Step 6: Final answer
    x = 1,962,734.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.