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Finding the Third Proportional to 1,196,764 and 2,561,643

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Solution

The third proportional to 1,196,764 and 2,561,643 is: 5,483,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,764 : 2,561,643 = 2,561,643 : x
  2. Step 2: Convert to fraction form
    1,196,764/2,561,643 = 2,561,643/x
  3. Step 3: Cross multiply
    1,196,764x = 2,561,643 × 2,561,643
  4. Step 4: Simplify right side
    1,196,764x = 6,562,014,859,449
  5. Step 5: Solve for x
    x = 6,562,014,859,449/1,196,764
  6. Step 6: Final answer
    x = 5,483,131.90

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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.