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Finding the Third Proportional to 532,131 and 1,142,994

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Solution

The third proportional to 532,131 and 1,142,994 is: 2,455,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,131 : 1,142,994 = 1,142,994 : x
  2. Step 2: Convert to fraction form
    532,131/1,142,994 = 1,142,994/x
  3. Step 3: Cross multiply
    532,131x = 1,142,994 × 1,142,994
  4. Step 4: Simplify right side
    532,131x = 1,306,435,284,036
  5. Step 5: Solve for x
    x = 1,306,435,284,036/532,131
  6. Step 6: Final answer
    x = 2,455,100.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.