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Finding the Third Proportional to 826,822.69 and 1,264,849.17

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Solution

The third proportional to 826,822.69 and 1,264,849.17 is: 1,934,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,822.69 : 1,264,849.17 = 1,264,849.17 : x
  2. Step 2: Convert to fraction form
    826,822.69/1,264,849.17 = 1,264,849.17/x
  3. Step 3: Cross multiply
    826,822.69x = 1,264,849.17 × 1,264,849.17
  4. Step 4: Simplify right side
    826,822.69x = 1,599,843,427,592.87
  5. Step 5: Solve for x
    x = 1,599,843,427,592.87/826,822.69
  6. Step 6: Final answer
    x = 1,934,929.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.