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Finding the Third Proportional to 605,760 and 917,056

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Solution

The third proportional to 605,760 and 917,056 is: 1,388,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,760 : 917,056 = 917,056 : x
  2. Step 2: Convert to fraction form
    605,760/917,056 = 917,056/x
  3. Step 3: Cross multiply
    605,760x = 917,056 × 917,056
  4. Step 4: Simplify right side
    605,760x = 840,991,707,136
  5. Step 5: Solve for x
    x = 840,991,707,136/605,760
  6. Step 6: Final answer
    x = 1,388,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.