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Finding the Third Proportional to 2,581,078.50 and 4,099,410

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Solution

The third proportional to 2,581,078.50 and 4,099,410 is: 6,510,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,078.50 : 4,099,410 = 4,099,410 : x
  2. Step 2: Convert to fraction form
    2,581,078.50/4,099,410 = 4,099,410/x
  3. Step 3: Cross multiply
    2,581,078.50x = 4,099,410 × 4,099,410
  4. Step 4: Simplify right side
    2,581,078.50x = 16,805,162,348,100
  5. Step 5: Solve for x
    x = 16,805,162,348,100/2,581,078.50
  6. Step 6: Final answer
    x = 6,510,907.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.