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Finding the Third Proportional to 1,261,998 and 2,736,927

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Solution

The third proportional to 1,261,998 and 2,736,927 is: 5,935,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,998 : 2,736,927 = 2,736,927 : x
  2. Step 2: Convert to fraction form
    1,261,998/2,736,927 = 2,736,927/x
  3. Step 3: Cross multiply
    1,261,998x = 2,736,927 × 2,736,927
  4. Step 4: Simplify right side
    1,261,998x = 7,490,769,403,329
  5. Step 5: Solve for x
    x = 7,490,769,403,329/1,261,998
  6. Step 6: Final answer
    x = 5,935,642.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.