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Finding the Third Proportional to 2,291,998 and 4,772,355

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Solution

The third proportional to 2,291,998 and 4,772,355 is: 9,936,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,998 : 4,772,355 = 4,772,355 : x
  2. Step 2: Convert to fraction form
    2,291,998/4,772,355 = 4,772,355/x
  3. Step 3: Cross multiply
    2,291,998x = 4,772,355 × 4,772,355
  4. Step 4: Simplify right side
    2,291,998x = 22,775,372,246,025
  5. Step 5: Solve for x
    x = 22,775,372,246,025/2,291,998
  6. Step 6: Final answer
    x = 9,936,907.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.