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Finding the Third Proportional to 605,762 and 917,059

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Solution

The third proportional to 605,762 and 917,059 is: 1,388,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,762 : 917,059 = 917,059 : x
  2. Step 2: Convert to fraction form
    605,762/917,059 = 917,059/x
  3. Step 3: Cross multiply
    605,762x = 917,059 × 917,059
  4. Step 4: Simplify right side
    605,762x = 840,997,209,481
  5. Step 5: Solve for x
    x = 840,997,209,481/605,762
  6. Step 6: Final answer
    x = 1,388,329.43

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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.