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Finding the Third Proportional to 1,472,157 and 3,169,815.75

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Solution

The third proportional to 1,472,157 and 3,169,815.75 is: 6,825,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,157 : 3,169,815.75 = 3,169,815.75 : x
  2. Step 2: Convert to fraction form
    1,472,157/3,169,815.75 = 3,169,815.75/x
  3. Step 3: Cross multiply
    1,472,157x = 3,169,815.75 × 3,169,815.75
  4. Step 4: Simplify right side
    1,472,157x = 10,047,731,888,948.06
  5. Step 5: Solve for x
    x = 10,047,731,888,948.06/1,472,157
  6. Step 6: Final answer
    x = 6,825,176.86

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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.