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Finding the Third Proportional to 1,287,711 and 2,681,389.41

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Solution

The third proportional to 1,287,711 and 2,681,389.41 is: 5,583,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,711 : 2,681,389.41 = 2,681,389.41 : x
  2. Step 2: Convert to fraction form
    1,287,711/2,681,389.41 = 2,681,389.41/x
  3. Step 3: Cross multiply
    1,287,711x = 2,681,389.41 × 2,681,389.41
  4. Step 4: Simplify right side
    1,287,711x = 7,189,849,147,949.73
  5. Step 5: Solve for x
    x = 7,189,849,147,949.73/1,287,711
  6. Step 6: Final answer
    x = 5,583,433.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.