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Finding the Third Proportional to 417,080 and 910,614

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Solution

The third proportional to 417,080 and 910,614 is: 1,988,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,080 : 910,614 = 910,614 : x
  2. Step 2: Convert to fraction form
    417,080/910,614 = 910,614/x
  3. Step 3: Cross multiply
    417,080x = 910,614 × 910,614
  4. Step 4: Simplify right side
    417,080x = 829,217,856,996
  5. Step 5: Solve for x
    x = 829,217,856,996/417,080
  6. Step 6: Final answer
    x = 1,988,150.61

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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.