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Finding the Third Proportional to 1,154,530.97 and 2,458,529.72

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Solution

The third proportional to 1,154,530.97 and 2,458,529.72 is: 5,235,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,530.97 : 2,458,529.72 = 2,458,529.72 : x
  2. Step 2: Convert to fraction form
    1,154,530.97/2,458,529.72 = 2,458,529.72/x
  3. Step 3: Cross multiply
    1,154,530.97x = 2,458,529.72 × 2,458,529.72
  4. Step 4: Simplify right side
    1,154,530.97x = 6,044,368,377,976.95
  5. Step 5: Solve for x
    x = 6,044,368,377,976.95/1,154,530.97
  6. Step 6: Final answer
    x = 5,235,345.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.