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Finding the Third Proportional to 2,591,730 and 3,836,583

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Solution

The third proportional to 2,591,730 and 3,836,583 is: 5,679,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,730 : 3,836,583 = 3,836,583 : x
  2. Step 2: Convert to fraction form
    2,591,730/3,836,583 = 3,836,583/x
  3. Step 3: Cross multiply
    2,591,730x = 3,836,583 × 3,836,583
  4. Step 4: Simplify right side
    2,591,730x = 14,719,369,115,889
  5. Step 5: Solve for x
    x = 14,719,369,115,889/2,591,730
  6. Step 6: Final answer
    x = 5,679,360.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.