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Finding the Third Proportional to 3,069,212 and 4,646,427

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Solution

The third proportional to 3,069,212 and 4,646,427 is: 7,034,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,212 : 4,646,427 = 4,646,427 : x
  2. Step 2: Convert to fraction form
    3,069,212/4,646,427 = 4,646,427/x
  3. Step 3: Cross multiply
    3,069,212x = 4,646,427 × 4,646,427
  4. Step 4: Simplify right side
    3,069,212x = 21,589,283,866,329
  5. Step 5: Solve for x
    x = 21,589,283,866,329/3,069,212
  6. Step 6: Final answer
    x = 7,034,145.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.