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Finding the Third Proportional to 602,871 and 818,716

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Solution

The third proportional to 602,871 and 818,716 is: 1,111,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,871 : 818,716 = 818,716 : x
  2. Step 2: Convert to fraction form
    602,871/818,716 = 818,716/x
  3. Step 3: Cross multiply
    602,871x = 818,716 × 818,716
  4. Step 4: Simplify right side
    602,871x = 670,295,888,656
  5. Step 5: Solve for x
    x = 670,295,888,656/602,871
  6. Step 6: Final answer
    x = 1,111,839.66

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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.