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Finding the Third Proportional to 442,818 and 948,630

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Solution

The third proportional to 442,818 and 948,630 is: 2,032,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,818 : 948,630 = 948,630 : x
  2. Step 2: Convert to fraction form
    442,818/948,630 = 948,630/x
  3. Step 3: Cross multiply
    442,818x = 948,630 × 948,630
  4. Step 4: Simplify right side
    442,818x = 899,898,876,900
  5. Step 5: Solve for x
    x = 899,898,876,900/442,818
  6. Step 6: Final answer
    x = 2,032,209.34

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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.