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Finding the Third Proportional to 823,830 and 1,239,957

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Solution

The third proportional to 823,830 and 1,239,957 is: 1,866,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,830 : 1,239,957 = 1,239,957 : x
  2. Step 2: Convert to fraction form
    823,830/1,239,957 = 1,239,957/x
  3. Step 3: Cross multiply
    823,830x = 1,239,957 × 1,239,957
  4. Step 4: Simplify right side
    823,830x = 1,537,493,361,849
  5. Step 5: Solve for x
    x = 1,537,493,361,849/823,830
  6. Step 6: Final answer
    x = 1,866,275.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.