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Finding the Third Proportional to 613,500 and 947,610

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Solution

The third proportional to 613,500 and 947,610 is: 1,463,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,500 : 947,610 = 947,610 : x
  2. Step 2: Convert to fraction form
    613,500/947,610 = 947,610/x
  3. Step 3: Cross multiply
    613,500x = 947,610 × 947,610
  4. Step 4: Simplify right side
    613,500x = 897,964,712,100
  5. Step 5: Solve for x
    x = 897,964,712,100/613,500
  6. Step 6: Final answer
    x = 1,463,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.