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Finding the Third Proportional to 2,199,910 and 4,773,068

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Solution

The third proportional to 2,199,910 and 4,773,068 is: 10,355,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,910 : 4,773,068 = 4,773,068 : x
  2. Step 2: Convert to fraction form
    2,199,910/4,773,068 = 4,773,068/x
  3. Step 3: Cross multiply
    2,199,910x = 4,773,068 × 4,773,068
  4. Step 4: Simplify right side
    2,199,910x = 22,782,178,132,624
  5. Step 5: Solve for x
    x = 22,782,178,132,624/2,199,910
  6. Step 6: Final answer
    x = 10,355,959.17

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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.