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Finding the Third Proportional to 604,866 and 940,785

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Solution

The third proportional to 604,866 and 940,785 is: 1,463,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,866 : 940,785 = 940,785 : x
  2. Step 2: Convert to fraction form
    604,866/940,785 = 940,785/x
  3. Step 3: Cross multiply
    604,866x = 940,785 × 940,785
  4. Step 4: Simplify right side
    604,866x = 885,076,416,225
  5. Step 5: Solve for x
    x = 885,076,416,225/604,866
  6. Step 6: Final answer
    x = 1,463,260.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.