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Finding the Third Proportional to 2,210,112 and 4,616,568

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Solution

The third proportional to 2,210,112 and 4,616,568 is: 9,643,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,112 : 4,616,568 = 4,616,568 : x
  2. Step 2: Convert to fraction form
    2,210,112/4,616,568 = 4,616,568/x
  3. Step 3: Cross multiply
    2,210,112x = 4,616,568 × 4,616,568
  4. Step 4: Simplify right side
    2,210,112x = 21,312,700,098,624
  5. Step 5: Solve for x
    x = 21,312,700,098,624/2,210,112
  6. Step 6: Final answer
    x = 9,643,266.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.