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Finding the Third Proportional to 1,148,225.63 and 2,471,952.38

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Solution

The third proportional to 1,148,225.63 and 2,471,952.38 is: 5,321,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,225.63 : 2,471,952.38 = 2,471,952.38 : x
  2. Step 2: Convert to fraction form
    1,148,225.63/2,471,952.38 = 2,471,952.38/x
  3. Step 3: Cross multiply
    1,148,225.63x = 2,471,952.38 × 2,471,952.38
  4. Step 4: Simplify right side
    1,148,225.63x = 6,110,548,544,268.14
  5. Step 5: Solve for x
    x = 6,110,548,544,268.14/1,148,225.63
  6. Step 6: Final answer
    x = 5,321,731.56

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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.