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Finding the Third Proportional to 945,397.50 and 2,023,689

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Solution

The third proportional to 945,397.50 and 2,023,689 is: 4,331,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,397.50 : 2,023,689 = 2,023,689 : x
  2. Step 2: Convert to fraction form
    945,397.50/2,023,689 = 2,023,689/x
  3. Step 3: Cross multiply
    945,397.50x = 2,023,689 × 2,023,689
  4. Step 4: Simplify right side
    945,397.50x = 4,095,317,168,721
  5. Step 5: Solve for x
    x = 4,095,317,168,721/945,397.50
  6. Step 6: Final answer
    x = 4,331,846.84

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