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Finding the Third Proportional to 602,754 and 818,616

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Solution

The third proportional to 602,754 and 818,616 is: 1,111,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,754 : 818,616 = 818,616 : x
  2. Step 2: Convert to fraction form
    602,754/818,616 = 818,616/x
  3. Step 3: Cross multiply
    602,754x = 818,616 × 818,616
  4. Step 4: Simplify right side
    602,754x = 670,132,155,456
  5. Step 5: Solve for x
    x = 670,132,155,456/602,754
  6. Step 6: Final answer
    x = 1,111,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.