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Finding the Third Proportional to 3,012,364 and 4,213,378.50

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Solution

The third proportional to 3,012,364 and 4,213,378.50 is: 5,893,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,364 : 4,213,378.50 = 4,213,378.50 : x
  2. Step 2: Convert to fraction form
    3,012,364/4,213,378.50 = 4,213,378.50/x
  3. Step 3: Cross multiply
    3,012,364x = 4,213,378.50 × 4,213,378.50
  4. Step 4: Simplify right side
    3,012,364x = 17,752,558,384,262.25
  5. Step 5: Solve for x
    x = 17,752,558,384,262.25/3,012,364
  6. Step 6: Final answer
    x = 5,893,231.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.