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Finding the Third Proportional to 1,196,921 and 2,561,998

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Solution

The third proportional to 1,196,921 and 2,561,998 is: 5,483,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,921 : 2,561,998 = 2,561,998 : x
  2. Step 2: Convert to fraction form
    1,196,921/2,561,998 = 2,561,998/x
  3. Step 3: Cross multiply
    1,196,921x = 2,561,998 × 2,561,998
  4. Step 4: Simplify right side
    1,196,921x = 6,563,833,752,004
  5. Step 5: Solve for x
    x = 6,563,833,752,004/1,196,921
  6. Step 6: Final answer
    x = 5,483,932.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.