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Finding the Third Proportional to 859,824 and 1,846,492

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Solution

The third proportional to 859,824 and 1,846,492 is: 3,965,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,824 : 1,846,492 = 1,846,492 : x
  2. Step 2: Convert to fraction form
    859,824/1,846,492 = 1,846,492/x
  3. Step 3: Cross multiply
    859,824x = 1,846,492 × 1,846,492
  4. Step 4: Simplify right side
    859,824x = 3,409,532,706,064
  5. Step 5: Solve for x
    x = 3,409,532,706,064/859,824
  6. Step 6: Final answer
    x = 3,965,384.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.