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Finding the Third Proportional to 4,177,976 and 5,637,084

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Solution

The third proportional to 4,177,976 and 5,637,084 is: 7,605,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,976 : 5,637,084 = 5,637,084 : x
  2. Step 2: Convert to fraction form
    4,177,976/5,637,084 = 5,637,084/x
  3. Step 3: Cross multiply
    4,177,976x = 5,637,084 × 5,637,084
  4. Step 4: Simplify right side
    4,177,976x = 31,776,716,023,056
  5. Step 5: Solve for x
    x = 31,776,716,023,056/4,177,976
  6. Step 6: Final answer
    x = 7,605,767.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.