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Finding the Third Proportional to 562,212 and 1,229,275.13

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Solution

The third proportional to 562,212 and 1,229,275.13 is: 2,687,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,212 : 1,229,275.13 = 1,229,275.13 : x
  2. Step 2: Convert to fraction form
    562,212/1,229,275.13 = 1,229,275.13/x
  3. Step 3: Cross multiply
    562,212x = 1,229,275.13 × 1,229,275.13
  4. Step 4: Simplify right side
    562,212x = 1,511,117,332,943.77
  5. Step 5: Solve for x
    x = 1,511,117,332,943.77/562,212
  6. Step 6: Final answer
    x = 2,687,806.97

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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.