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Finding the Third Proportional to 510,945.47 and 1,074,823.17

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Solution

The third proportional to 510,945.47 and 1,074,823.17 is: 2,260,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,945.47 : 1,074,823.17 = 1,074,823.17 : x
  2. Step 2: Convert to fraction form
    510,945.47/1,074,823.17 = 1,074,823.17/x
  3. Step 3: Cross multiply
    510,945.47x = 1,074,823.17 × 1,074,823.17
  4. Step 4: Simplify right side
    510,945.47x = 1,155,244,850,799.44
  5. Step 5: Solve for x
    x = 1,155,244,850,799.44/510,945.47
  6. Step 6: Final answer
    x = 2,260,994.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.