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Finding the Third Proportional to 951,548 and 1,457,462

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Solution

The third proportional to 951,548 and 1,457,462 is: 2,232,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,548 : 1,457,462 = 1,457,462 : x
  2. Step 2: Convert to fraction form
    951,548/1,457,462 = 1,457,462/x
  3. Step 3: Cross multiply
    951,548x = 1,457,462 × 1,457,462
  4. Step 4: Simplify right side
    951,548x = 2,124,195,481,444
  5. Step 5: Solve for x
    x = 2,124,195,481,444/951,548
  6. Step 6: Final answer
    x = 2,232,357.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.