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Finding the Third Proportional to 2,296,518 and 5,363,997

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Solution

The third proportional to 2,296,518 and 5,363,997 is: 12,528,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,518 : 5,363,997 = 5,363,997 : x
  2. Step 2: Convert to fraction form
    2,296,518/5,363,997 = 5,363,997/x
  3. Step 3: Cross multiply
    2,296,518x = 5,363,997 × 5,363,997
  4. Step 4: Simplify right side
    2,296,518x = 28,772,463,816,009
  5. Step 5: Solve for x
    x = 28,772,463,816,009/2,296,518
  6. Step 6: Final answer
    x = 12,528,734.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.