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Finding the Third Proportional to 826,629 and 1,169,999

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Solution

The third proportional to 826,629 and 1,169,999 is: 1,656,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,629 : 1,169,999 = 1,169,999 : x
  2. Step 2: Convert to fraction form
    826,629/1,169,999 = 1,169,999/x
  3. Step 3: Cross multiply
    826,629x = 1,169,999 × 1,169,999
  4. Step 4: Simplify right side
    826,629x = 1,368,897,660,001
  5. Step 5: Solve for x
    x = 1,368,897,660,001/826,629
  6. Step 6: Final answer
    x = 1,656,000.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.