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Finding the Third Proportional to 562,822.17 and 1,230,739.95

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Solution

The third proportional to 562,822.17 and 1,230,739.95 is: 2,691,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,822.17 : 1,230,739.95 = 1,230,739.95 : x
  2. Step 2: Convert to fraction form
    562,822.17/1,230,739.95 = 1,230,739.95/x
  3. Step 3: Cross multiply
    562,822.17x = 1,230,739.95 × 1,230,739.95
  4. Step 4: Simplify right side
    562,822.17x = 1,514,720,812,987.82
  5. Step 5: Solve for x
    x = 1,514,720,812,987.82/562,822.17
  6. Step 6: Final answer
    x = 2,691,295.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.