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Finding the Third Proportional to 799,653 and 1,655,893

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Solution

The third proportional to 799,653 and 1,655,893 is: 3,428,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,653 : 1,655,893 = 1,655,893 : x
  2. Step 2: Convert to fraction form
    799,653/1,655,893 = 1,655,893/x
  3. Step 3: Cross multiply
    799,653x = 1,655,893 × 1,655,893
  4. Step 4: Simplify right side
    799,653x = 2,741,981,627,449
  5. Step 5: Solve for x
    x = 2,741,981,627,449/799,653
  6. Step 6: Final answer
    x = 3,428,964.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.