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Finding the Third Proportional to 1,942,396 and 4,229,629

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Solution

The third proportional to 1,942,396 and 4,229,629 is: 9,210,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,396 : 4,229,629 = 4,229,629 : x
  2. Step 2: Convert to fraction form
    1,942,396/4,229,629 = 4,229,629/x
  3. Step 3: Cross multiply
    1,942,396x = 4,229,629 × 4,229,629
  4. Step 4: Simplify right side
    1,942,396x = 17,889,761,477,641
  5. Step 5: Solve for x
    x = 17,889,761,477,641/1,942,396
  6. Step 6: Final answer
    x = 9,210,151.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.