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Finding the Third Proportional to 774,664 and 1,677,970

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Solution

The third proportional to 774,664 and 1,677,970 is: 3,634,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,664 : 1,677,970 = 1,677,970 : x
  2. Step 2: Convert to fraction form
    774,664/1,677,970 = 1,677,970/x
  3. Step 3: Cross multiply
    774,664x = 1,677,970 × 1,677,970
  4. Step 4: Simplify right side
    774,664x = 2,815,583,320,900
  5. Step 5: Solve for x
    x = 2,815,583,320,900/774,664
  6. Step 6: Final answer
    x = 3,634,586.51

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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.