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Finding the Third Proportional to 897,222 and 1,968,822

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Solution

The third proportional to 897,222 and 1,968,822 is: 4,320,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,222 : 1,968,822 = 1,968,822 : x
  2. Step 2: Convert to fraction form
    897,222/1,968,822 = 1,968,822/x
  3. Step 3: Cross multiply
    897,222x = 1,968,822 × 1,968,822
  4. Step 4: Simplify right side
    897,222x = 3,876,260,067,684
  5. Step 5: Solve for x
    x = 3,876,260,067,684/897,222
  6. Step 6: Final answer
    x = 4,320,290.93

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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.