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Finding the Third Proportional to 571,720 and 1,206,868

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Solution

The third proportional to 571,720 and 1,206,868 is: 2,547,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,720 : 1,206,868 = 1,206,868 : x
  2. Step 2: Convert to fraction form
    571,720/1,206,868 = 1,206,868/x
  3. Step 3: Cross multiply
    571,720x = 1,206,868 × 1,206,868
  4. Step 4: Simplify right side
    571,720x = 1,456,530,369,424
  5. Step 5: Solve for x
    x = 1,456,530,369,424/571,720
  6. Step 6: Final answer
    x = 2,547,628.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.