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Finding the Third Proportional to 957,499 and 1,456,143

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Solution

The third proportional to 957,499 and 1,456,143 is: 2,214,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,499 : 1,456,143 = 1,456,143 : x
  2. Step 2: Convert to fraction form
    957,499/1,456,143 = 1,456,143/x
  3. Step 3: Cross multiply
    957,499x = 1,456,143 × 1,456,143
  4. Step 4: Simplify right side
    957,499x = 2,120,352,436,449
  5. Step 5: Solve for x
    x = 2,120,352,436,449/957,499
  6. Step 6: Final answer
    x = 2,214,469.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.