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Finding the Third Proportional to 417,126 and 910,756

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Solution

The third proportional to 417,126 and 910,756 is: 1,988,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,126 : 910,756 = 910,756 : x
  2. Step 2: Convert to fraction form
    417,126/910,756 = 910,756/x
  3. Step 3: Cross multiply
    417,126x = 910,756 × 910,756
  4. Step 4: Simplify right side
    417,126x = 829,476,491,536
  5. Step 5: Solve for x
    x = 829,476,491,536/417,126
  6. Step 6: Final answer
    x = 1,988,551.40

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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.