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Finding the Third Proportional to 840,503 and 1,257,780

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Solution

The third proportional to 840,503 and 1,257,780 is: 1,882,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,503 : 1,257,780 = 1,257,780 : x
  2. Step 2: Convert to fraction form
    840,503/1,257,780 = 1,257,780/x
  3. Step 3: Cross multiply
    840,503x = 1,257,780 × 1,257,780
  4. Step 4: Simplify right side
    840,503x = 1,582,010,528,400
  5. Step 5: Solve for x
    x = 1,582,010,528,400/840,503
  6. Step 6: Final answer
    x = 1,882,218.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.