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Finding the Third Proportional to 635,478 and 983,073

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Solution

The third proportional to 635,478 and 983,073 is: 1,520,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,478 : 983,073 = 983,073 : x
  2. Step 2: Convert to fraction form
    635,478/983,073 = 983,073/x
  3. Step 3: Cross multiply
    635,478x = 983,073 × 983,073
  4. Step 4: Simplify right side
    635,478x = 966,432,523,329
  5. Step 5: Solve for x
    x = 966,432,523,329/635,478
  6. Step 6: Final answer
    x = 1,520,796.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.