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Finding the Third Proportional to 386,012 and 836,428

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Solution

The third proportional to 386,012 and 836,428 is: 1,812,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,012 : 836,428 = 836,428 : x
  2. Step 2: Convert to fraction form
    386,012/836,428 = 836,428/x
  3. Step 3: Cross multiply
    386,012x = 836,428 × 836,428
  4. Step 4: Simplify right side
    386,012x = 699,611,799,184
  5. Step 5: Solve for x
    x = 699,611,799,184/386,012
  6. Step 6: Final answer
    x = 1,812,409.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.