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Finding the Third Proportional to 1,683,960 and 2,638,596

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Solution

The third proportional to 1,683,960 and 2,638,596 is: 4,134,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,960 : 2,638,596 = 2,638,596 : x
  2. Step 2: Convert to fraction form
    1,683,960/2,638,596 = 2,638,596/x
  3. Step 3: Cross multiply
    1,683,960x = 2,638,596 × 2,638,596
  4. Step 4: Simplify right side
    1,683,960x = 6,962,188,851,216
  5. Step 5: Solve for x
    x = 6,962,188,851,216/1,683,960
  6. Step 6: Final answer
    x = 4,134,414.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.