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Finding the Third Proportional to 664,184 and 931,992

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Solution

The third proportional to 664,184 and 931,992 is: 1,307,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,184 : 931,992 = 931,992 : x
  2. Step 2: Convert to fraction form
    664,184/931,992 = 931,992/x
  3. Step 3: Cross multiply
    664,184x = 931,992 × 931,992
  4. Step 4: Simplify right side
    664,184x = 868,609,088,064
  5. Step 5: Solve for x
    x = 868,609,088,064/664,184
  6. Step 6: Final answer
    x = 1,307,783.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.