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Finding the Third Proportional to 2,864,637.75 and 4,142,766

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Solution

The third proportional to 2,864,637.75 and 4,142,766 is: 5,991,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,637.75 : 4,142,766 = 4,142,766 : x
  2. Step 2: Convert to fraction form
    2,864,637.75/4,142,766 = 4,142,766/x
  3. Step 3: Cross multiply
    2,864,637.75x = 4,142,766 × 4,142,766
  4. Step 4: Simplify right side
    2,864,637.75x = 17,162,510,130,756
  5. Step 5: Solve for x
    x = 17,162,510,130,756/2,864,637.75
  6. Step 6: Final answer
    x = 5,991,162.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.