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Finding the Third Proportional to 1,191,388 and 2,592,920

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Solution

The third proportional to 1,191,388 and 2,592,920 is: 5,643,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,388 : 2,592,920 = 2,592,920 : x
  2. Step 2: Convert to fraction form
    1,191,388/2,592,920 = 2,592,920/x
  3. Step 3: Cross multiply
    1,191,388x = 2,592,920 × 2,592,920
  4. Step 4: Simplify right side
    1,191,388x = 6,723,234,126,400
  5. Step 5: Solve for x
    x = 6,723,234,126,400/1,191,388
  6. Step 6: Final answer
    x = 5,643,194.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.