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Finding the Third Proportional to 2,155,384 and 3,138,300

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Solution

The third proportional to 2,155,384 and 3,138,300 is: 4,569,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,384 : 3,138,300 = 3,138,300 : x
  2. Step 2: Convert to fraction form
    2,155,384/3,138,300 = 3,138,300/x
  3. Step 3: Cross multiply
    2,155,384x = 3,138,300 × 3,138,300
  4. Step 4: Simplify right side
    2,155,384x = 9,848,926,890,000
  5. Step 5: Solve for x
    x = 9,848,926,890,000/2,155,384
  6. Step 6: Final answer
    x = 4,569,453.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.