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Finding the Third Proportional to 835,904 and 1,972,928

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Solution

The third proportional to 835,904 and 1,972,928 is: 4,656,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,904 : 1,972,928 = 1,972,928 : x
  2. Step 2: Convert to fraction form
    835,904/1,972,928 = 1,972,928/x
  3. Step 3: Cross multiply
    835,904x = 1,972,928 × 1,972,928
  4. Step 4: Simplify right side
    835,904x = 3,892,444,893,184
  5. Step 5: Solve for x
    x = 3,892,444,893,184/835,904
  6. Step 6: Final answer
    x = 4,656,569.29

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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.