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Finding the Third Proportional to 2,678,540 and 4,041,961.50

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Solution

The third proportional to 2,678,540 and 4,041,961.50 is: 6,099,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,540 : 4,041,961.50 = 4,041,961.50 : x
  2. Step 2: Convert to fraction form
    2,678,540/4,041,961.50 = 4,041,961.50/x
  3. Step 3: Cross multiply
    2,678,540x = 4,041,961.50 × 4,041,961.50
  4. Step 4: Simplify right side
    2,678,540x = 16,337,452,767,482.25
  5. Step 5: Solve for x
    x = 16,337,452,767,482.25/2,678,540
  6. Step 6: Final answer
    x = 6,099,387.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.