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Finding the Third Proportional to 625,822.88 and 1,284,822

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Solution

The third proportional to 625,822.88 and 1,284,822 is: 2,637,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,822.88 : 1,284,822 = 1,284,822 : x
  2. Step 2: Convert to fraction form
    625,822.88/1,284,822 = 1,284,822/x
  3. Step 3: Cross multiply
    625,822.88x = 1,284,822 × 1,284,822
  4. Step 4: Simplify right side
    625,822.88x = 1,650,767,571,684
  5. Step 5: Solve for x
    x = 1,650,767,571,684/625,822.88
  6. Step 6: Final answer
    x = 2,637,755.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.