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Finding the Third Proportional to 1,480,514 and 2,231,697

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Solution

The third proportional to 1,480,514 and 2,231,697 is: 3,364,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,514 : 2,231,697 = 2,231,697 : x
  2. Step 2: Convert to fraction form
    1,480,514/2,231,697 = 2,231,697/x
  3. Step 3: Cross multiply
    1,480,514x = 2,231,697 × 2,231,697
  4. Step 4: Simplify right side
    1,480,514x = 4,980,471,499,809
  5. Step 5: Solve for x
    x = 4,980,471,499,809/1,480,514
  6. Step 6: Final answer
    x = 3,364,015.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.