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Finding the Third Proportional to 1,317,035 and 2,670,403

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Solution

The third proportional to 1,317,035 and 2,670,403 is: 5,414,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,035 : 2,670,403 = 2,670,403 : x
  2. Step 2: Convert to fraction form
    1,317,035/2,670,403 = 2,670,403/x
  3. Step 3: Cross multiply
    1,317,035x = 2,670,403 × 2,670,403
  4. Step 4: Simplify right side
    1,317,035x = 7,131,052,182,409
  5. Step 5: Solve for x
    x = 7,131,052,182,409/1,317,035
  6. Step 6: Final answer
    x = 5,414,474.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.