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Finding the Third Proportional to 2,155,398 and 3,381,166.50

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Solution

The third proportional to 2,155,398 and 3,381,166.50 is: 5,304,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,398 : 3,381,166.50 = 3,381,166.50 : x
  2. Step 2: Convert to fraction form
    2,155,398/3,381,166.50 = 3,381,166.50/x
  3. Step 3: Cross multiply
    2,155,398x = 3,381,166.50 × 3,381,166.50
  4. Step 4: Simplify right side
    2,155,398x = 11,432,286,900,722.25
  5. Step 5: Solve for x
    x = 11,432,286,900,722.25/2,155,398
  6. Step 6: Final answer
    x = 5,304,025.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.