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Finding the Third Proportional to 2,201,464 and 4,496,240

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Solution

The third proportional to 2,201,464 and 4,496,240 is: 9,183,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,464 : 4,496,240 = 4,496,240 : x
  2. Step 2: Convert to fraction form
    2,201,464/4,496,240 = 4,496,240/x
  3. Step 3: Cross multiply
    2,201,464x = 4,496,240 × 4,496,240
  4. Step 4: Simplify right side
    2,201,464x = 20,216,174,137,600
  5. Step 5: Solve for x
    x = 20,216,174,137,600/2,201,464
  6. Step 6: Final answer
    x = 9,183,059.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.