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Finding the Third Proportional to 448,830 and 982,119

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Solution

The third proportional to 448,830 and 982,119 is: 2,149,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,830 : 982,119 = 982,119 : x
  2. Step 2: Convert to fraction form
    448,830/982,119 = 982,119/x
  3. Step 3: Cross multiply
    448,830x = 982,119 × 982,119
  4. Step 4: Simplify right side
    448,830x = 964,557,730,161
  5. Step 5: Solve for x
    x = 964,557,730,161/448,830
  6. Step 6: Final answer
    x = 2,149,049.15

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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.