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Finding the Third Proportional to 536,170 and 1,154,717

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Solution

The third proportional to 536,170 and 1,154,717 is: 2,486,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,170 : 1,154,717 = 1,154,717 : x
  2. Step 2: Convert to fraction form
    536,170/1,154,717 = 1,154,717/x
  3. Step 3: Cross multiply
    536,170x = 1,154,717 × 1,154,717
  4. Step 4: Simplify right side
    536,170x = 1,333,371,350,089
  5. Step 5: Solve for x
    x = 1,333,371,350,089/536,170
  6. Step 6: Final answer
    x = 2,486,844.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.