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Finding the Third Proportional to 774,396 and 1,660,842

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Solution

The third proportional to 774,396 and 1,660,842 is: 3,561,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,396 : 1,660,842 = 1,660,842 : x
  2. Step 2: Convert to fraction form
    774,396/1,660,842 = 1,660,842/x
  3. Step 3: Cross multiply
    774,396x = 1,660,842 × 1,660,842
  4. Step 4: Simplify right side
    774,396x = 2,758,396,148,964
  5. Step 5: Solve for x
    x = 2,758,396,148,964/774,396
  6. Step 6: Final answer
    x = 3,561,996.90

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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.