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Finding the Third Proportional to 508,741 and 1,059,344

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Solution

The third proportional to 508,741 and 1,059,344 is: 2,205,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,741 : 1,059,344 = 1,059,344 : x
  2. Step 2: Convert to fraction form
    508,741/1,059,344 = 1,059,344/x
  3. Step 3: Cross multiply
    508,741x = 1,059,344 × 1,059,344
  4. Step 4: Simplify right side
    508,741x = 1,122,209,710,336
  5. Step 5: Solve for x
    x = 1,122,209,710,336/508,741
  6. Step 6: Final answer
    x = 2,205,856.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.