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Finding the Third Proportional to 408,080 and 883,948

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Solution

The third proportional to 408,080 and 883,948 is: 1,914,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,080 : 883,948 = 883,948 : x
  2. Step 2: Convert to fraction form
    408,080/883,948 = 883,948/x
  3. Step 3: Cross multiply
    408,080x = 883,948 × 883,948
  4. Step 4: Simplify right side
    408,080x = 781,364,066,704
  5. Step 5: Solve for x
    x = 781,364,066,704/408,080
  6. Step 6: Final answer
    x = 1,914,732.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.