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Finding the Third Proportional to 774,024 and 1,642,092

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Solution

The third proportional to 774,024 and 1,642,092 is: 3,483,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,024 : 1,642,092 = 1,642,092 : x
  2. Step 2: Convert to fraction form
    774,024/1,642,092 = 1,642,092/x
  3. Step 3: Cross multiply
    774,024x = 1,642,092 × 1,642,092
  4. Step 4: Simplify right side
    774,024x = 2,696,466,136,464
  5. Step 5: Solve for x
    x = 2,696,466,136,464/774,024
  6. Step 6: Final answer
    x = 3,483,698.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.