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Finding the Third Proportional to 705,366 and 1,536,606

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Solution

The third proportional to 705,366 and 1,536,606 is: 3,347,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,366 : 1,536,606 = 1,536,606 : x
  2. Step 2: Convert to fraction form
    705,366/1,536,606 = 1,536,606/x
  3. Step 3: Cross multiply
    705,366x = 1,536,606 × 1,536,606
  4. Step 4: Simplify right side
    705,366x = 2,361,157,999,236
  5. Step 5: Solve for x
    x = 2,361,157,999,236/705,366
  6. Step 6: Final answer
    x = 3,347,422.47

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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.