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Finding the Third Proportional to 417,416 and 913,552

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Solution

The third proportional to 417,416 and 913,552 is: 1,999,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,416 : 913,552 = 913,552 : x
  2. Step 2: Convert to fraction form
    417,416/913,552 = 913,552/x
  3. Step 3: Cross multiply
    417,416x = 913,552 × 913,552
  4. Step 4: Simplify right side
    417,416x = 834,577,256,704
  5. Step 5: Solve for x
    x = 834,577,256,704/417,416
  6. Step 6: Final answer
    x = 1,999,389.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.