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Finding the Third Proportional to 605,655 and 940,464

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Solution

The third proportional to 605,655 and 940,464 is: 1,460,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,655 : 940,464 = 940,464 : x
  2. Step 2: Convert to fraction form
    605,655/940,464 = 940,464/x
  3. Step 3: Cross multiply
    605,655x = 940,464 × 940,464
  4. Step 4: Simplify right side
    605,655x = 884,472,535,296
  5. Step 5: Solve for x
    x = 884,472,535,296/605,655
  6. Step 6: Final answer
    x = 1,460,357.03

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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.