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Finding the Third Proportional to 448,901 and 985,031

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Solution

The third proportional to 448,901 and 985,031 is: 2,161,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,901 : 985,031 = 985,031 : x
  2. Step 2: Convert to fraction form
    448,901/985,031 = 985,031/x
  3. Step 3: Cross multiply
    448,901x = 985,031 × 985,031
  4. Step 4: Simplify right side
    448,901x = 970,286,070,961
  5. Step 5: Solve for x
    x = 970,286,070,961/448,901
  6. Step 6: Final answer
    x = 2,161,470.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.