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Finding the Third Proportional to 1,275,750 and 2,609,820

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Solution

The third proportional to 1,275,750 and 2,609,820 is: 5,338,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,750 : 2,609,820 = 2,609,820 : x
  2. Step 2: Convert to fraction form
    1,275,750/2,609,820 = 2,609,820/x
  3. Step 3: Cross multiply
    1,275,750x = 2,609,820 × 2,609,820
  4. Step 4: Simplify right side
    1,275,750x = 6,811,160,432,400
  5. Step 5: Solve for x
    x = 6,811,160,432,400/1,275,750
  6. Step 6: Final answer
    x = 5,338,946.06

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.