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Finding the Third Proportional to 1,400,838 and 2,051,561

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Solution

The third proportional to 1,400,838 and 2,051,561 is: 3,004,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,838 : 2,051,561 = 2,051,561 : x
  2. Step 2: Convert to fraction form
    1,400,838/2,051,561 = 2,051,561/x
  3. Step 3: Cross multiply
    1,400,838x = 2,051,561 × 2,051,561
  4. Step 4: Simplify right side
    1,400,838x = 4,208,902,536,721
  5. Step 5: Solve for x
    x = 4,208,902,536,721/1,400,838
  6. Step 6: Final answer
    x = 3,004,560.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.