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Finding the Third Proportional to 649,080 and 1,422,711

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Solution

The third proportional to 649,080 and 1,422,711 is: 3,118,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,080 : 1,422,711 = 1,422,711 : x
  2. Step 2: Convert to fraction form
    649,080/1,422,711 = 1,422,711/x
  3. Step 3: Cross multiply
    649,080x = 1,422,711 × 1,422,711
  4. Step 4: Simplify right side
    649,080x = 2,024,106,589,521
  5. Step 5: Solve for x
    x = 2,024,106,589,521/649,080
  6. Step 6: Final answer
    x = 3,118,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.