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Finding the Third Proportional to 2,298,768 and 3,448,152

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Solution

The third proportional to 2,298,768 and 3,448,152 is: 5,172,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,768 : 3,448,152 = 3,448,152 : x
  2. Step 2: Convert to fraction form
    2,298,768/3,448,152 = 3,448,152/x
  3. Step 3: Cross multiply
    2,298,768x = 3,448,152 × 3,448,152
  4. Step 4: Simplify right side
    2,298,768x = 11,889,752,215,104
  5. Step 5: Solve for x
    x = 11,889,752,215,104/2,298,768
  6. Step 6: Final answer
    x = 5,172,228

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.