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Finding the Third Proportional to 4,326,624 and 6,725,925

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Solution

The third proportional to 4,326,624 and 6,725,925 is: 10,455,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326,624 : 6,725,925 = 6,725,925 : x
  2. Step 2: Convert to fraction form
    4,326,624/6,725,925 = 6,725,925/x
  3. Step 3: Cross multiply
    4,326,624x = 6,725,925 × 6,725,925
  4. Step 4: Simplify right side
    4,326,624x = 45,238,067,105,625
  5. Step 5: Solve for x
    x = 45,238,067,105,625/4,326,624
  6. Step 6: Final answer
    x = 10,455,742.65

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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.