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Finding the Third Proportional to 915,398 and 1,993,531

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Solution

The third proportional to 915,398 and 1,993,531 is: 4,341,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,398 : 1,993,531 = 1,993,531 : x
  2. Step 2: Convert to fraction form
    915,398/1,993,531 = 1,993,531/x
  3. Step 3: Cross multiply
    915,398x = 1,993,531 × 1,993,531
  4. Step 4: Simplify right side
    915,398x = 3,974,165,847,961
  5. Step 5: Solve for x
    x = 3,974,165,847,961/915,398
  6. Step 6: Final answer
    x = 4,341,462.24

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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.