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Finding the Third Proportional to 1,226,560 and 2,681,120

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Solution

The third proportional to 1,226,560 and 2,681,120 is: 5,860,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,560 : 2,681,120 = 2,681,120 : x
  2. Step 2: Convert to fraction form
    1,226,560/2,681,120 = 2,681,120/x
  3. Step 3: Cross multiply
    1,226,560x = 2,681,120 × 2,681,120
  4. Step 4: Simplify right side
    1,226,560x = 7,188,404,454,400
  5. Step 5: Solve for x
    x = 7,188,404,454,400/1,226,560
  6. Step 6: Final answer
    x = 5,860,621.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.