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Finding the Third Proportional to 602,662 and 911,768

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Solution

The third proportional to 602,662 and 911,768 is: 1,379,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,662 : 911,768 = 911,768 : x
  2. Step 2: Convert to fraction form
    602,662/911,768 = 911,768/x
  3. Step 3: Cross multiply
    602,662x = 911,768 × 911,768
  4. Step 4: Simplify right side
    602,662x = 831,320,885,824
  5. Step 5: Solve for x
    x = 831,320,885,824/602,662
  6. Step 6: Final answer
    x = 1,379,414.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.