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Finding the Third Proportional to 508,743 and 1,059,348

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Solution

The third proportional to 508,743 and 1,059,348 is: 2,205,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,743 : 1,059,348 = 1,059,348 : x
  2. Step 2: Convert to fraction form
    508,743/1,059,348 = 1,059,348/x
  3. Step 3: Cross multiply
    508,743x = 1,059,348 × 1,059,348
  4. Step 4: Simplify right side
    508,743x = 1,122,218,185,104
  5. Step 5: Solve for x
    x = 1,122,218,185,104/508,743
  6. Step 6: Final answer
    x = 2,205,864.62

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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.