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Finding the Third Proportional to 774,778 and 1,686,796

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Solution

The third proportional to 774,778 and 1,686,796 is: 3,672,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,778 : 1,686,796 = 1,686,796 : x
  2. Step 2: Convert to fraction form
    774,778/1,686,796 = 1,686,796/x
  3. Step 3: Cross multiply
    774,778x = 1,686,796 × 1,686,796
  4. Step 4: Simplify right side
    774,778x = 2,845,280,745,616
  5. Step 5: Solve for x
    x = 2,845,280,745,616/774,778
  6. Step 6: Final answer
    x = 3,672,381.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.