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Finding the Third Proportional to 3,928,929.75 and 5,908,016.25

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Solution

The third proportional to 3,928,929.75 and 5,908,016.25 is: 8,884,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928,929.75 : 5,908,016.25 = 5,908,016.25 : x
  2. Step 2: Convert to fraction form
    3,928,929.75/5,908,016.25 = 5,908,016.25/x
  3. Step 3: Cross multiply
    3,928,929.75x = 5,908,016.25 × 5,908,016.25
  4. Step 4: Simplify right side
    3,928,929.75x = 34,904,656,010,264.06
  5. Step 5: Solve for x
    x = 34,904,656,010,264.06/3,928,929.75
  6. Step 6: Final answer
    x = 8,884,011.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.