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Finding the Third Proportional to 3,189,904 and 4,738,776

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Solution

The third proportional to 3,189,904 and 4,738,776 is: 7,039,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,904 : 4,738,776 = 4,738,776 : x
  2. Step 2: Convert to fraction form
    3,189,904/4,738,776 = 4,738,776/x
  3. Step 3: Cross multiply
    3,189,904x = 4,738,776 × 4,738,776
  4. Step 4: Simplify right side
    3,189,904x = 22,455,997,978,176
  5. Step 5: Solve for x
    x = 22,455,997,978,176/3,189,904
  6. Step 6: Final answer
    x = 7,039,709.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.