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Finding the Third Proportional to 1,463,748 and 2,284,149

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Solution

The third proportional to 1,463,748 and 2,284,149 is: 3,564,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,748 : 2,284,149 = 2,284,149 : x
  2. Step 2: Convert to fraction form
    1,463,748/2,284,149 = 2,284,149/x
  3. Step 3: Cross multiply
    1,463,748x = 2,284,149 × 2,284,149
  4. Step 4: Simplify right side
    1,463,748x = 5,217,336,654,201
  5. Step 5: Solve for x
    x = 5,217,336,654,201/1,463,748
  6. Step 6: Final answer
    x = 3,564,368.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.