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Finding the Third Proportional to 4,326,569 and 6,725,847

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Solution

The third proportional to 4,326,569 and 6,725,847 is: 10,455,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326,569 : 6,725,847 = 6,725,847 : x
  2. Step 2: Convert to fraction form
    4,326,569/6,725,847 = 6,725,847/x
  3. Step 3: Cross multiply
    4,326,569x = 6,725,847 × 6,725,847
  4. Step 4: Simplify right side
    4,326,569x = 45,237,017,867,409
  5. Step 5: Solve for x
    x = 45,237,017,867,409/4,326,569
  6. Step 6: Final answer
    x = 10,455,633.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.