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Finding the Third Proportional to 1,813,544 and 2,912,120

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Solution

The third proportional to 1,813,544 and 2,912,120 is: 4,676,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813,544 : 2,912,120 = 2,912,120 : x
  2. Step 2: Convert to fraction form
    1,813,544/2,912,120 = 2,912,120/x
  3. Step 3: Cross multiply
    1,813,544x = 2,912,120 × 2,912,120
  4. Step 4: Simplify right side
    1,813,544x = 8,480,442,894,400
  5. Step 5: Solve for x
    x = 8,480,442,894,400/1,813,544
  6. Step 6: Final answer
    x = 4,676,171.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.