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Finding the Third Proportional to 571,416 and 1,244,422

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Solution

The third proportional to 571,416 and 1,244,422 is: 2,710,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,416 : 1,244,422 = 1,244,422 : x
  2. Step 2: Convert to fraction form
    571,416/1,244,422 = 1,244,422/x
  3. Step 3: Cross multiply
    571,416x = 1,244,422 × 1,244,422
  4. Step 4: Simplify right side
    571,416x = 1,548,586,114,084
  5. Step 5: Solve for x
    x = 1,548,586,114,084/571,416
  6. Step 6: Final answer
    x = 2,710,085.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.