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Finding the Third Proportional to 414,489,243 and 893,545,287

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Solution

The third proportional to 414,489,243 and 893,545,287 is: 1,926,282,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,489,243 : 893,545,287 = 893,545,287 : x
  2. Step 2: Convert to fraction form
    414,489,243/893,545,287 = 893,545,287/x
  3. Step 3: Cross multiply
    414,489,243x = 893,545,287 × 893,545,287
  4. Step 4: Simplify right side
    414,489,243x = 798,423,179,919,912,320
  5. Step 5: Solve for x
    x = 798,423,179,919,912,320/414,489,243
  6. Step 6: Final answer
    x = 1,926,282,028.80

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Why These Related Problems?

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