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Finding the Third Proportional to 787,538 and 1,686,946

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Solution

The third proportional to 787,538 and 1,686,946 is: 3,613,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,538 : 1,686,946 = 1,686,946 : x
  2. Step 2: Convert to fraction form
    787,538/1,686,946 = 1,686,946/x
  3. Step 3: Cross multiply
    787,538x = 1,686,946 × 1,686,946
  4. Step 4: Simplify right side
    787,538x = 2,845,786,806,916
  5. Step 5: Solve for x
    x = 2,845,786,806,916/787,538
  6. Step 6: Final answer
    x = 3,613,523.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.