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Finding the Third Proportional to 2,266,882 and 4,789,623

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Solution

The third proportional to 2,266,882 and 4,789,623 is: 10,119,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,882 : 4,789,623 = 4,789,623 : x
  2. Step 2: Convert to fraction form
    2,266,882/4,789,623 = 4,789,623/x
  3. Step 3: Cross multiply
    2,266,882x = 4,789,623 × 4,789,623
  4. Step 4: Simplify right side
    2,266,882x = 22,940,488,482,129
  5. Step 5: Solve for x
    x = 22,940,488,482,129/2,266,882
  6. Step 6: Final answer
    x = 10,119,842.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.