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Finding the Third Proportional to 461,567 and 969,786

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Solution

The third proportional to 461,567 and 969,786 is: 2,037,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,567 : 969,786 = 969,786 : x
  2. Step 2: Convert to fraction form
    461,567/969,786 = 969,786/x
  3. Step 3: Cross multiply
    461,567x = 969,786 × 969,786
  4. Step 4: Simplify right side
    461,567x = 940,484,885,796
  5. Step 5: Solve for x
    x = 940,484,885,796/461,567
  6. Step 6: Final answer
    x = 2,037,591.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.