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Finding the Third Proportional to 442,982 and 948,904

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Solution

The third proportional to 442,982 and 948,904 is: 2,032,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,982 : 948,904 = 948,904 : x
  2. Step 2: Convert to fraction form
    442,982/948,904 = 948,904/x
  3. Step 3: Cross multiply
    442,982x = 948,904 × 948,904
  4. Step 4: Simplify right side
    442,982x = 900,418,801,216
  5. Step 5: Solve for x
    x = 900,418,801,216/442,982
  6. Step 6: Final answer
    x = 2,032,630.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.