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Finding the Third Proportional to 417,022 and 910,520

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Solution

The third proportional to 417,022 and 910,520 is: 1,988,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,022 : 910,520 = 910,520 : x
  2. Step 2: Convert to fraction form
    417,022/910,520 = 910,520/x
  3. Step 3: Cross multiply
    417,022x = 910,520 × 910,520
  4. Step 4: Simplify right side
    417,022x = 829,046,670,400
  5. Step 5: Solve for x
    x = 829,046,670,400/417,022
  6. Step 6: Final answer
    x = 1,988,016.63

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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.