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Finding the Third Proportional to 774,637 and 1,677,912

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Solution

The third proportional to 774,637 and 1,677,912 is: 3,634,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,637 : 1,677,912 = 1,677,912 : x
  2. Step 2: Convert to fraction form
    774,637/1,677,912 = 1,677,912/x
  3. Step 3: Cross multiply
    774,637x = 1,677,912 × 1,677,912
  4. Step 4: Simplify right side
    774,637x = 2,815,388,679,744
  5. Step 5: Solve for x
    x = 2,815,388,679,744/774,637
  6. Step 6: Final answer
    x = 3,634,461.92

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