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Finding the Third Proportional to 1,034,039.25 and 1,552,152.38

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Solution

The third proportional to 1,034,039.25 and 1,552,152.38 is: 2,329,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,039.25 : 1,552,152.38 = 1,552,152.38 : x
  2. Step 2: Convert to fraction form
    1,034,039.25/1,552,152.38 = 1,552,152.38/x
  3. Step 3: Cross multiply
    1,034,039.25x = 1,552,152.38 × 1,552,152.38
  4. Step 4: Simplify right side
    1,034,039.25x = 2,409,176,995,218.14
  5. Step 5: Solve for x
    x = 2,409,176,995,218.14/1,034,039.25
  6. Step 6: Final answer
    x = 2,329,869.97

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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.