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Finding the Third Proportional to 2,569,346 and 5,533,324

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Solution

The third proportional to 2,569,346 and 5,533,324 is: 11,916,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,346 : 5,533,324 = 5,533,324 : x
  2. Step 2: Convert to fraction form
    2,569,346/5,533,324 = 5,533,324/x
  3. Step 3: Cross multiply
    2,569,346x = 5,533,324 × 5,533,324
  4. Step 4: Simplify right side
    2,569,346x = 30,617,674,488,976
  5. Step 5: Solve for x
    x = 30,617,674,488,976/2,569,346
  6. Step 6: Final answer
    x = 11,916,524.47

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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.