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Finding the Third Proportional to 486,122 and 760,845

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Solution

The third proportional to 486,122 and 760,845 is: 1,190,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,122 : 760,845 = 760,845 : x
  2. Step 2: Convert to fraction form
    486,122/760,845 = 760,845/x
  3. Step 3: Cross multiply
    486,122x = 760,845 × 760,845
  4. Step 4: Simplify right side
    486,122x = 578,885,114,025
  5. Step 5: Solve for x
    x = 578,885,114,025/486,122
  6. Step 6: Final answer
    x = 1,190,822.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.