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Finding the Third Proportional to 417,459 and 913,686

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Solution

The third proportional to 417,459 and 913,686 is: 1,999,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,459 : 913,686 = 913,686 : x
  2. Step 2: Convert to fraction form
    417,459/913,686 = 913,686/x
  3. Step 3: Cross multiply
    417,459x = 913,686 × 913,686
  4. Step 4: Simplify right side
    417,459x = 834,822,106,596
  5. Step 5: Solve for x
    x = 834,822,106,596/417,459
  6. Step 6: Final answer
    x = 1,999,770.29

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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.