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Finding the Third Proportional to 455,747 and 982,148

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Solution

The third proportional to 455,747 and 982,148 is: 2,116,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,747 : 982,148 = 982,148 : x
  2. Step 2: Convert to fraction form
    455,747/982,148 = 982,148/x
  3. Step 3: Cross multiply
    455,747x = 982,148 × 982,148
  4. Step 4: Simplify right side
    455,747x = 964,614,693,904
  5. Step 5: Solve for x
    x = 964,614,693,904/455,747
  6. Step 6: Final answer
    x = 2,116,557.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.