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Finding the Third Proportional to 774,602 and 1,677,880

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Solution

The third proportional to 774,602 and 1,677,880 is: 3,634,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,602 : 1,677,880 = 1,677,880 : x
  2. Step 2: Convert to fraction form
    774,602/1,677,880 = 1,677,880/x
  3. Step 3: Cross multiply
    774,602x = 1,677,880 × 1,677,880
  4. Step 4: Simplify right side
    774,602x = 2,815,281,294,400
  5. Step 5: Solve for x
    x = 2,815,281,294,400/774,602
  6. Step 6: Final answer
    x = 3,634,487.51

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Why These Related Problems?

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