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Finding the Third Proportional to 1,230,782 and 2,658,396

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Solution

The third proportional to 1,230,782 and 2,658,396 is: 5,741,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,782 : 2,658,396 = 2,658,396 : x
  2. Step 2: Convert to fraction form
    1,230,782/2,658,396 = 2,658,396/x
  3. Step 3: Cross multiply
    1,230,782x = 2,658,396 × 2,658,396
  4. Step 4: Simplify right side
    1,230,782x = 7,067,069,292,816
  5. Step 5: Solve for x
    x = 7,067,069,292,816/1,230,782
  6. Step 6: Final answer
    x = 5,741,934.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.