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Finding the Third Proportional to 417,508 and 913,784

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Solution

The third proportional to 417,508 and 913,784 is: 1,999,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,508 : 913,784 = 913,784 : x
  2. Step 2: Convert to fraction form
    417,508/913,784 = 913,784/x
  3. Step 3: Cross multiply
    417,508x = 913,784 × 913,784
  4. Step 4: Simplify right side
    417,508x = 835,001,198,656
  5. Step 5: Solve for x
    x = 835,001,198,656/417,508
  6. Step 6: Final answer
    x = 1,999,964.55

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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.