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Finding the Third Proportional to 579,276 and 1,261,534

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Solution

The third proportional to 579,276 and 1,261,534 is: 2,747,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,276 : 1,261,534 = 1,261,534 : x
  2. Step 2: Convert to fraction form
    579,276/1,261,534 = 1,261,534/x
  3. Step 3: Cross multiply
    579,276x = 1,261,534 × 1,261,534
  4. Step 4: Simplify right side
    579,276x = 1,591,468,033,156
  5. Step 5: Solve for x
    x = 1,591,468,033,156/579,276
  6. Step 6: Final answer
    x = 2,747,339.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.