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Finding the Third Proportional to 415,498 and 910,052

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Solution

The third proportional to 415,498 and 910,052 is: 1,993,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,498 : 910,052 = 910,052 : x
  2. Step 2: Convert to fraction form
    415,498/910,052 = 910,052/x
  3. Step 3: Cross multiply
    415,498x = 910,052 × 910,052
  4. Step 4: Simplify right side
    415,498x = 828,194,642,704
  5. Step 5: Solve for x
    x = 828,194,642,704/415,498
  6. Step 6: Final answer
    x = 1,993,257.83

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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.