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Finding the Third Proportional to 705,790 and 1,538,468

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Solution

The third proportional to 705,790 and 1,538,468 is: 3,353,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,790 : 1,538,468 = 1,538,468 : x
  2. Step 2: Convert to fraction form
    705,790/1,538,468 = 1,538,468/x
  3. Step 3: Cross multiply
    705,790x = 1,538,468 × 1,538,468
  4. Step 4: Simplify right side
    705,790x = 2,366,883,787,024
  5. Step 5: Solve for x
    x = 2,366,883,787,024/705,790
  6. Step 6: Final answer
    x = 3,353,524.12

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