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Finding the Third Proportional to 571,974 and 1,243,566

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Solution

The third proportional to 571,974 and 1,243,566 is: 2,703,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,974 : 1,243,566 = 1,243,566 : x
  2. Step 2: Convert to fraction form
    571,974/1,243,566 = 1,243,566/x
  3. Step 3: Cross multiply
    571,974x = 1,243,566 × 1,243,566
  4. Step 4: Simplify right side
    571,974x = 1,546,456,396,356
  5. Step 5: Solve for x
    x = 1,546,456,396,356/571,974
  6. Step 6: Final answer
    x = 2,703,717.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.