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Finding the Third Proportional to 1,780,098 and 2,754,621

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Solution

The third proportional to 1,780,098 and 2,754,621 is: 4,262,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,098 : 2,754,621 = 2,754,621 : x
  2. Step 2: Convert to fraction form
    1,780,098/2,754,621 = 2,754,621/x
  3. Step 3: Cross multiply
    1,780,098x = 2,754,621 × 2,754,621
  4. Step 4: Simplify right side
    1,780,098x = 7,587,936,853,641
  5. Step 5: Solve for x
    x = 7,587,936,853,641/1,780,098
  6. Step 6: Final answer
    x = 4,262,651.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.