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Finding the Third Proportional to 1,039,298 and 2,233,306

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Solution

The third proportional to 1,039,298 and 2,233,306 is: 4,799,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,298 : 2,233,306 = 2,233,306 : x
  2. Step 2: Convert to fraction form
    1,039,298/2,233,306 = 2,233,306/x
  3. Step 3: Cross multiply
    1,039,298x = 2,233,306 × 2,233,306
  4. Step 4: Simplify right side
    1,039,298x = 4,987,655,689,636
  5. Step 5: Solve for x
    x = 4,987,655,689,636/1,039,298
  6. Step 6: Final answer
    x = 4,799,062.15

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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.