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Finding the Third Proportional to 835,908 and 1,972,938

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Solution

The third proportional to 835,908 and 1,972,938 is: 4,656,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,908 : 1,972,938 = 1,972,938 : x
  2. Step 2: Convert to fraction form
    835,908/1,972,938 = 1,972,938/x
  3. Step 3: Cross multiply
    835,908x = 1,972,938 × 1,972,938
  4. Step 4: Simplify right side
    835,908x = 3,892,484,351,844
  5. Step 5: Solve for x
    x = 3,892,484,351,844/835,908
  6. Step 6: Final answer
    x = 4,656,594.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.