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Finding the Third Proportional to 2,112,309 and 4,561,353

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Solution

The third proportional to 2,112,309 and 4,561,353 is: 9,849,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,309 : 4,561,353 = 4,561,353 : x
  2. Step 2: Convert to fraction form
    2,112,309/4,561,353 = 4,561,353/x
  3. Step 3: Cross multiply
    2,112,309x = 4,561,353 × 4,561,353
  4. Step 4: Simplify right side
    2,112,309x = 20,805,941,190,609
  5. Step 5: Solve for x
    x = 20,805,941,190,609/2,112,309
  6. Step 6: Final answer
    x = 9,849,856.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.