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Finding the Third Proportional to 826,641 and 1,170,017

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Solution

The third proportional to 826,641 and 1,170,017 is: 1,656,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,641 : 1,170,017 = 1,170,017 : x
  2. Step 2: Convert to fraction form
    826,641/1,170,017 = 1,170,017/x
  3. Step 3: Cross multiply
    826,641x = 1,170,017 × 1,170,017
  4. Step 4: Simplify right side
    826,641x = 1,368,939,780,289
  5. Step 5: Solve for x
    x = 1,368,939,780,289/826,641
  6. Step 6: Final answer
    x = 1,656,026.96

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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.