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Finding the Third Proportional to 528,411.09 and 1,177,843.78

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Solution

The third proportional to 528,411.09 and 1,177,843.78 is: 2,625,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,411.09 : 1,177,843.78 = 1,177,843.78 : x
  2. Step 2: Convert to fraction form
    528,411.09/1,177,843.78 = 1,177,843.78/x
  3. Step 3: Cross multiply
    528,411.09x = 1,177,843.78 × 1,177,843.78
  4. Step 4: Simplify right side
    528,411.09x = 1,387,315,973,029.30
  5. Step 5: Solve for x
    x = 1,387,315,973,029.30/528,411.09
  6. Step 6: Final answer
    x = 2,625,448.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.