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Finding the Third Proportional to 2,211,192 and 4,645,188

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Solution

The third proportional to 2,211,192 and 4,645,188 is: 9,758,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,192 : 4,645,188 = 4,645,188 : x
  2. Step 2: Convert to fraction form
    2,211,192/4,645,188 = 4,645,188/x
  3. Step 3: Cross multiply
    2,211,192x = 4,645,188 × 4,645,188
  4. Step 4: Simplify right side
    2,211,192x = 21,577,771,555,344
  5. Step 5: Solve for x
    x = 21,577,771,555,344/2,211,192
  6. Step 6: Final answer
    x = 9,758,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.