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Finding the Third Proportional to 613,926 and 947,133

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Solution

The third proportional to 613,926 and 947,133 is: 1,461,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,926 : 947,133 = 947,133 : x
  2. Step 2: Convert to fraction form
    613,926/947,133 = 947,133/x
  3. Step 3: Cross multiply
    613,926x = 947,133 × 947,133
  4. Step 4: Simplify right side
    613,926x = 897,060,919,689
  5. Step 5: Solve for x
    x = 897,060,919,689/613,926
  6. Step 6: Final answer
    x = 1,461,187.37

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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.