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Finding the Third Proportional to 612,608 and 1,297,952

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Solution

The third proportional to 612,608 and 1,297,952 is: 2,750,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,608 : 1,297,952 = 1,297,952 : x
  2. Step 2: Convert to fraction form
    612,608/1,297,952 = 1,297,952/x
  3. Step 3: Cross multiply
    612,608x = 1,297,952 × 1,297,952
  4. Step 4: Simplify right side
    612,608x = 1,684,679,394,304
  5. Step 5: Solve for x
    x = 1,684,679,394,304/612,608
  6. Step 6: Final answer
    x = 2,750,012.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.