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Finding the Third Proportional to 532,787 and 1,141,147

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Solution

The third proportional to 532,787 and 1,141,147 is: 2,444,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,787 : 1,141,147 = 1,141,147 : x
  2. Step 2: Convert to fraction form
    532,787/1,141,147 = 1,141,147/x
  3. Step 3: Cross multiply
    532,787x = 1,141,147 × 1,141,147
  4. Step 4: Simplify right side
    532,787x = 1,302,216,475,609
  5. Step 5: Solve for x
    x = 1,302,216,475,609/532,787
  6. Step 6: Final answer
    x = 2,444,159.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.