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Finding the Third Proportional to 3,413,539.65 and 4,801,729.36

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Solution

The third proportional to 3,413,539.65 and 4,801,729.36 is: 6,754,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,539.65 : 4,801,729.36 = 4,801,729.36 : x
  2. Step 2: Convert to fraction form
    3,413,539.65/4,801,729.36 = 4,801,729.36/x
  3. Step 3: Cross multiply
    3,413,539.65x = 4,801,729.36 × 4,801,729.36
  4. Step 4: Simplify right side
    3,413,539.65x = 23,056,604,840,683.85
  5. Step 5: Solve for x
    x = 23,056,604,840,683.85/3,413,539.65
  6. Step 6: Final answer
    x = 6,754,456.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.