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Finding the Third Proportional to 1,478,384 and 3,177,619

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Solution

The third proportional to 1,478,384 and 3,177,619 is: 6,829,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,384 : 3,177,619 = 3,177,619 : x
  2. Step 2: Convert to fraction form
    1,478,384/3,177,619 = 3,177,619/x
  3. Step 3: Cross multiply
    1,478,384x = 3,177,619 × 3,177,619
  4. Step 4: Simplify right side
    1,478,384x = 10,097,262,509,161
  5. Step 5: Solve for x
    x = 10,097,262,509,161/1,478,384
  6. Step 6: Final answer
    x = 6,829,932.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.