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Finding the Third Proportional to 1,836,657 and 4,288,905

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Solution

The third proportional to 1,836,657 and 4,288,905 is: 10,015,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,657 : 4,288,905 = 4,288,905 : x
  2. Step 2: Convert to fraction form
    1,836,657/4,288,905 = 4,288,905/x
  3. Step 3: Cross multiply
    1,836,657x = 4,288,905 × 4,288,905
  4. Step 4: Simplify right side
    1,836,657x = 18,394,706,099,025
  5. Step 5: Solve for x
    x = 18,394,706,099,025/1,836,657
  6. Step 6: Final answer
    x = 10,015,319.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.