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Finding the Third Proportional to 2,243,815 and 4,829,774

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Solution

The third proportional to 2,243,815 and 4,829,774 is: 10,396,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,815 : 4,829,774 = 4,829,774 : x
  2. Step 2: Convert to fraction form
    2,243,815/4,829,774 = 4,829,774/x
  3. Step 3: Cross multiply
    2,243,815x = 4,829,774 × 4,829,774
  4. Step 4: Simplify right side
    2,243,815x = 23,326,716,891,076
  5. Step 5: Solve for x
    x = 23,326,716,891,076/2,243,815
  6. Step 6: Final answer
    x = 10,396,007.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.