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Finding the Third Proportional to 2,057,810 and 4,431,681

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Solution

The third proportional to 2,057,810 and 4,431,681 is: 9,544,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,810 : 4,431,681 = 4,431,681 : x
  2. Step 2: Convert to fraction form
    2,057,810/4,431,681 = 4,431,681/x
  3. Step 3: Cross multiply
    2,057,810x = 4,431,681 × 4,431,681
  4. Step 4: Simplify right side
    2,057,810x = 19,639,796,485,761
  5. Step 5: Solve for x
    x = 19,639,796,485,761/2,057,810
  6. Step 6: Final answer
    x = 9,544,028.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.