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Finding the Third Proportional to 654,948 and 984,852

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Solution

The third proportional to 654,948 and 984,852 is: 1,480,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,948 : 984,852 = 984,852 : x
  2. Step 2: Convert to fraction form
    654,948/984,852 = 984,852/x
  3. Step 3: Cross multiply
    654,948x = 984,852 × 984,852
  4. Step 4: Simplify right side
    654,948x = 969,933,461,904
  5. Step 5: Solve for x
    x = 969,933,461,904/654,948
  6. Step 6: Final answer
    x = 1,480,932.02

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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.