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Finding the Third Proportional to 809,792 and 1,874,703

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Solution

The third proportional to 809,792 and 1,874,703 is: 4,340,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,792 : 1,874,703 = 1,874,703 : x
  2. Step 2: Convert to fraction form
    809,792/1,874,703 = 1,874,703/x
  3. Step 3: Cross multiply
    809,792x = 1,874,703 × 1,874,703
  4. Step 4: Simplify right side
    809,792x = 3,514,511,338,209
  5. Step 5: Solve for x
    x = 3,514,511,338,209/809,792
  6. Step 6: Final answer
    x = 4,340,017.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.