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Finding the Third Proportional to 386,492 and 826,056

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Solution

The third proportional to 386,492 and 826,056 is: 1,765,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,492 : 826,056 = 826,056 : x
  2. Step 2: Convert to fraction form
    386,492/826,056 = 826,056/x
  3. Step 3: Cross multiply
    386,492x = 826,056 × 826,056
  4. Step 4: Simplify right side
    386,492x = 682,368,515,136
  5. Step 5: Solve for x
    x = 682,368,515,136/386,492
  6. Step 6: Final answer
    x = 1,765,543.70

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Why These Related Problems?

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