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Finding the Third Proportional to 816,351.75 and 1,788,048

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Solution

The third proportional to 816,351.75 and 1,788,048 is: 3,916,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,351.75 : 1,788,048 = 1,788,048 : x
  2. Step 2: Convert to fraction form
    816,351.75/1,788,048 = 1,788,048/x
  3. Step 3: Cross multiply
    816,351.75x = 1,788,048 × 1,788,048
  4. Step 4: Simplify right side
    816,351.75x = 3,197,115,650,304
  5. Step 5: Solve for x
    x = 3,197,115,650,304/816,351.75
  6. Step 6: Final answer
    x = 3,916,345.68

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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.