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Finding the Third Proportional to 408,143 and 953,080

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Solution

The third proportional to 408,143 and 953,080 is: 2,225,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,143 : 953,080 = 953,080 : x
  2. Step 2: Convert to fraction form
    408,143/953,080 = 953,080/x
  3. Step 3: Cross multiply
    408,143x = 953,080 × 953,080
  4. Step 4: Simplify right side
    408,143x = 908,361,486,400
  5. Step 5: Solve for x
    x = 908,361,486,400/408,143
  6. Step 6: Final answer
    x = 2,225,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.