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Finding the Third Proportional to 461,116 and 691,674

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Solution

The third proportional to 461,116 and 691,674 is: 1,037,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,116 : 691,674 = 691,674 : x
  2. Step 2: Convert to fraction form
    461,116/691,674 = 691,674/x
  3. Step 3: Cross multiply
    461,116x = 691,674 × 691,674
  4. Step 4: Simplify right side
    461,116x = 478,412,922,276
  5. Step 5: Solve for x
    x = 478,412,922,276/461,116
  6. Step 6: Final answer
    x = 1,037,511

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.