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Finding the Third Proportional to 605,619 and 940,410

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Solution

The third proportional to 605,619 and 940,410 is: 1,460,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,619 : 940,410 = 940,410 : x
  2. Step 2: Convert to fraction form
    605,619/940,410 = 940,410/x
  3. Step 3: Cross multiply
    605,619x = 940,410 × 940,410
  4. Step 4: Simplify right side
    605,619x = 884,370,968,100
  5. Step 5: Solve for x
    x = 884,370,968,100/605,619
  6. Step 6: Final answer
    x = 1,460,276.13

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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.