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Finding the Third Proportional to 2,111,074 and 4,633,182

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Solution

The third proportional to 2,111,074 and 4,633,182 is: 10,168,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,074 : 4,633,182 = 4,633,182 : x
  2. Step 2: Convert to fraction form
    2,111,074/4,633,182 = 4,633,182/x
  3. Step 3: Cross multiply
    2,111,074x = 4,633,182 × 4,633,182
  4. Step 4: Simplify right side
    2,111,074x = 21,466,375,445,124
  5. Step 5: Solve for x
    x = 21,466,375,445,124/2,111,074
  6. Step 6: Final answer
    x = 10,168,461.86

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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.