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Finding the Third Proportional to 872,212 and 1,930,952

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Solution

The third proportional to 872,212 and 1,930,952 is: 4,274,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,212 : 1,930,952 = 1,930,952 : x
  2. Step 2: Convert to fraction form
    872,212/1,930,952 = 1,930,952/x
  3. Step 3: Cross multiply
    872,212x = 1,930,952 × 1,930,952
  4. Step 4: Simplify right side
    872,212x = 3,728,575,626,304
  5. Step 5: Solve for x
    x = 3,728,575,626,304/872,212
  6. Step 6: Final answer
    x = 4,274,850.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.