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Finding the Third Proportional to 492,490.13 and 1,078,396.03

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Solution

The third proportional to 492,490.13 and 1,078,396.03 is: 2,361,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,490.13 : 1,078,396.03 = 1,078,396.03 : x
  2. Step 2: Convert to fraction form
    492,490.13/1,078,396.03 = 1,078,396.03/x
  3. Step 3: Cross multiply
    492,490.13x = 1,078,396.03 × 1,078,396.03
  4. Step 4: Simplify right side
    492,490.13x = 1,162,938,000,215.75
  5. Step 5: Solve for x
    x = 1,162,938,000,215.75/492,490.13
  6. Step 6: Final answer
    x = 2,361,342.78

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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.