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Finding the Third Proportional to 2,057,738 and 4,513,888

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Solution

The third proportional to 2,057,738 and 4,513,888 is: 9,901,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,738 : 4,513,888 = 4,513,888 : x
  2. Step 2: Convert to fraction form
    2,057,738/4,513,888 = 4,513,888/x
  3. Step 3: Cross multiply
    2,057,738x = 4,513,888 × 4,513,888
  4. Step 4: Simplify right side
    2,057,738x = 20,375,184,876,544
  5. Step 5: Solve for x
    x = 20,375,184,876,544/2,057,738
  6. Step 6: Final answer
    x = 9,901,739.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.