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Finding the Third Proportional to 947,660 and 1,355,164

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Solution

The third proportional to 947,660 and 1,355,164 is: 1,937,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,660 : 1,355,164 = 1,355,164 : x
  2. Step 2: Convert to fraction form
    947,660/1,355,164 = 1,355,164/x
  3. Step 3: Cross multiply
    947,660x = 1,355,164 × 1,355,164
  4. Step 4: Simplify right side
    947,660x = 1,836,469,466,896
  5. Step 5: Solve for x
    x = 1,836,469,466,896/947,660
  6. Step 6: Final answer
    x = 1,937,899.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.