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Finding the Third Proportional to 571,536 and 1,244,664

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Solution

The third proportional to 571,536 and 1,244,664 is: 2,710,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,536 : 1,244,664 = 1,244,664 : x
  2. Step 2: Convert to fraction form
    571,536/1,244,664 = 1,244,664/x
  3. Step 3: Cross multiply
    571,536x = 1,244,664 × 1,244,664
  4. Step 4: Simplify right side
    571,536x = 1,549,188,472,896
  5. Step 5: Solve for x
    x = 1,549,188,472,896/571,536
  6. Step 6: Final answer
    x = 2,710,570.24

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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.