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Finding the Third Proportional to 448,092 and 948,660

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Solution

The third proportional to 448,092 and 948,660 is: 2,008,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,092 : 948,660 = 948,660 : x
  2. Step 2: Convert to fraction form
    448,092/948,660 = 948,660/x
  3. Step 3: Cross multiply
    448,092x = 948,660 × 948,660
  4. Step 4: Simplify right side
    448,092x = 899,955,795,600
  5. Step 5: Solve for x
    x = 899,955,795,600/448,092
  6. Step 6: Final answer
    x = 2,008,417.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.