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Finding the Third Proportional to 774,497 and 1,677,664

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Solution

The third proportional to 774,497 and 1,677,664 is: 3,634,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,497 : 1,677,664 = 1,677,664 : x
  2. Step 2: Convert to fraction form
    774,497/1,677,664 = 1,677,664/x
  3. Step 3: Cross multiply
    774,497x = 1,677,664 × 1,677,664
  4. Step 4: Simplify right side
    774,497x = 2,814,556,496,896
  5. Step 5: Solve for x
    x = 2,814,556,496,896/774,497
  6. Step 6: Final answer
    x = 3,634,044.41

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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.