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Finding the Third Proportional to 3,092,296.50 and 4,718,405.25

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Solution

The third proportional to 3,092,296.50 and 4,718,405.25 is: 7,199,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092,296.50 : 4,718,405.25 = 4,718,405.25 : x
  2. Step 2: Convert to fraction form
    3,092,296.50/4,718,405.25 = 4,718,405.25/x
  3. Step 3: Cross multiply
    3,092,296.50x = 4,718,405.25 × 4,718,405.25
  4. Step 4: Simplify right side
    3,092,296.50x = 22,263,348,103,227.56
  5. Step 5: Solve for x
    x = 22,263,348,103,227.56/3,092,296.50
  6. Step 6: Final answer
    x = 7,199,616.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.