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Finding the Third Proportional to 947,160 and 2,028,672

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Solution

The third proportional to 947,160 and 2,028,672 is: 4,345,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,160 : 2,028,672 = 2,028,672 : x
  2. Step 2: Convert to fraction form
    947,160/2,028,672 = 2,028,672/x
  3. Step 3: Cross multiply
    947,160x = 2,028,672 × 2,028,672
  4. Step 4: Simplify right side
    947,160x = 4,115,510,083,584
  5. Step 5: Solve for x
    x = 4,115,510,083,584/947,160
  6. Step 6: Final answer
    x = 4,345,105.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.