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Finding the Third Proportional to 448,784 and 982,042

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Solution

The third proportional to 448,784 and 982,042 is: 2,148,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,784 : 982,042 = 982,042 : x
  2. Step 2: Convert to fraction form
    448,784/982,042 = 982,042/x
  3. Step 3: Cross multiply
    448,784x = 982,042 × 982,042
  4. Step 4: Simplify right side
    448,784x = 964,406,489,764
  5. Step 5: Solve for x
    x = 964,406,489,764/448,784
  6. Step 6: Final answer
    x = 2,148,932.43

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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.