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Finding the Third Proportional to 605,623 and 940,416

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Solution

The third proportional to 605,623 and 940,416 is: 1,460,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,623 : 940,416 = 940,416 : x
  2. Step 2: Convert to fraction form
    605,623/940,416 = 940,416/x
  3. Step 3: Cross multiply
    605,623x = 940,416 × 940,416
  4. Step 4: Simplify right side
    605,623x = 884,382,253,056
  5. Step 5: Solve for x
    x = 884,382,253,056/605,623
  6. Step 6: Final answer
    x = 1,460,285.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.