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Finding the Third Proportional to 705,794 and 1,538,476

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Solution

The third proportional to 705,794 and 1,538,476 is: 3,353,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,794 : 1,538,476 = 1,538,476 : x
  2. Step 2: Convert to fraction form
    705,794/1,538,476 = 1,538,476/x
  3. Step 3: Cross multiply
    705,794x = 1,538,476 × 1,538,476
  4. Step 4: Simplify right side
    705,794x = 2,366,908,402,576
  5. Step 5: Solve for x
    x = 2,366,908,402,576/705,794
  6. Step 6: Final answer
    x = 3,353,539.99

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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.