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Finding the Third Proportional to 624,123 and 913,968

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Solution

The third proportional to 624,123 and 913,968 is: 1,338,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,123 : 913,968 = 913,968 : x
  2. Step 2: Convert to fraction form
    624,123/913,968 = 913,968/x
  3. Step 3: Cross multiply
    624,123x = 913,968 × 913,968
  4. Step 4: Simplify right side
    624,123x = 835,337,505,024
  5. Step 5: Solve for x
    x = 835,337,505,024/624,123
  6. Step 6: Final answer
    x = 1,338,418.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.