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Finding the Third Proportional to 945,407 and 2,023,704

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Solution

The third proportional to 945,407 and 2,023,704 is: 4,331,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,407 : 2,023,704 = 2,023,704 : x
  2. Step 2: Convert to fraction form
    945,407/2,023,704 = 2,023,704/x
  3. Step 3: Cross multiply
    945,407x = 2,023,704 × 2,023,704
  4. Step 4: Simplify right side
    945,407x = 4,095,377,879,616
  5. Step 5: Solve for x
    x = 4,095,377,879,616/945,407
  6. Step 6: Final answer
    x = 4,331,867.52

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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.