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Finding the Third Proportional to 774,447 and 1,677,604

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Solution

The third proportional to 774,447 and 1,677,604 is: 3,634,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,447 : 1,677,604 = 1,677,604 : x
  2. Step 2: Convert to fraction form
    774,447/1,677,604 = 1,677,604/x
  3. Step 3: Cross multiply
    774,447x = 1,677,604 × 1,677,604
  4. Step 4: Simplify right side
    774,447x = 2,814,355,180,816
  5. Step 5: Solve for x
    x = 2,814,355,180,816/774,447
  6. Step 6: Final answer
    x = 3,634,019.09

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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.