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Finding the Third Proportional to 1,307,692 and 2,815,767.50

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Solution

The third proportional to 1,307,692 and 2,815,767.50 is: 6,063,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,692 : 2,815,767.50 = 2,815,767.50 : x
  2. Step 2: Convert to fraction form
    1,307,692/2,815,767.50 = 2,815,767.50/x
  3. Step 3: Cross multiply
    1,307,692x = 2,815,767.50 × 2,815,767.50
  4. Step 4: Simplify right side
    1,307,692x = 7,928,546,614,056.25
  5. Step 5: Solve for x
    x = 7,928,546,614,056.25/1,307,692
  6. Step 6: Final answer
    x = 6,063,007.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.