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Finding the Third Proportional to 2,310,196.50 and 3,591,297

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Solution

The third proportional to 2,310,196.50 and 3,591,297 is: 5,582,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,196.50 : 3,591,297 = 3,591,297 : x
  2. Step 2: Convert to fraction form
    2,310,196.50/3,591,297 = 3,591,297/x
  3. Step 3: Cross multiply
    2,310,196.50x = 3,591,297 × 3,591,297
  4. Step 4: Simplify right side
    2,310,196.50x = 12,897,414,142,209
  5. Step 5: Solve for x
    x = 12,897,414,142,209/2,310,196.50
  6. Step 6: Final answer
    x = 5,582,821.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.