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Finding the Third Proportional to 945,396 and 2,023,686

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Solution

The third proportional to 945,396 and 2,023,686 is: 4,331,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,396 : 2,023,686 = 2,023,686 : x
  2. Step 2: Convert to fraction form
    945,396/2,023,686 = 2,023,686/x
  3. Step 3: Cross multiply
    945,396x = 2,023,686 × 2,023,686
  4. Step 4: Simplify right side
    945,396x = 4,095,305,026,596
  5. Step 5: Solve for x
    x = 4,095,305,026,596/945,396
  6. Step 6: Final answer
    x = 4,331,840.87

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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.