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Finding the Third Proportional to 605,764 and 940,660

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Solution

The third proportional to 605,764 and 940,660 is: 1,460,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,764 : 940,660 = 940,660 : x
  2. Step 2: Convert to fraction form
    605,764/940,660 = 940,660/x
  3. Step 3: Cross multiply
    605,764x = 940,660 × 940,660
  4. Step 4: Simplify right side
    605,764x = 884,841,235,600
  5. Step 5: Solve for x
    x = 884,841,235,600/605,764
  6. Step 6: Final answer
    x = 1,460,702.91

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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.