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Finding the Third Proportional to 1,290,834 and 2,799,396

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Solution

The third proportional to 1,290,834 and 2,799,396 is: 6,070,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,834 : 2,799,396 = 2,799,396 : x
  2. Step 2: Convert to fraction form
    1,290,834/2,799,396 = 2,799,396/x
  3. Step 3: Cross multiply
    1,290,834x = 2,799,396 × 2,799,396
  4. Step 4: Simplify right side
    1,290,834x = 7,836,617,964,816
  5. Step 5: Solve for x
    x = 7,836,617,964,816/1,290,834
  6. Step 6: Final answer
    x = 6,070,972.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.