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Finding the Third Proportional to 835,731 and 1,804,464

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Solution

The third proportional to 835,731 and 1,804,464 is: 3,896,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,731 : 1,804,464 = 1,804,464 : x
  2. Step 2: Convert to fraction form
    835,731/1,804,464 = 1,804,464/x
  3. Step 3: Cross multiply
    835,731x = 1,804,464 × 1,804,464
  4. Step 4: Simplify right side
    835,731x = 3,256,090,327,296
  5. Step 5: Solve for x
    x = 3,256,090,327,296/835,731
  6. Step 6: Final answer
    x = 3,896,098.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.