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Finding the Third Proportional to 417,098 and 910,684

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Solution

The third proportional to 417,098 and 910,684 is: 1,988,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,098 : 910,684 = 910,684 : x
  2. Step 2: Convert to fraction form
    417,098/910,684 = 910,684/x
  3. Step 3: Cross multiply
    417,098x = 910,684 × 910,684
  4. Step 4: Simplify right side
    417,098x = 829,345,347,856
  5. Step 5: Solve for x
    x = 829,345,347,856/417,098
  6. Step 6: Final answer
    x = 1,988,370.47

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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.