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Finding the Third Proportional to 571,916 and 1,129,481

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Solution

The third proportional to 571,916 and 1,129,481 is: 2,230,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,916 : 1,129,481 = 1,129,481 : x
  2. Step 2: Convert to fraction form
    571,916/1,129,481 = 1,129,481/x
  3. Step 3: Cross multiply
    571,916x = 1,129,481 × 1,129,481
  4. Step 4: Simplify right side
    571,916x = 1,275,727,329,361
  5. Step 5: Solve for x
    x = 1,275,727,329,361/571,916
  6. Step 6: Final answer
    x = 2,230,620.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.