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Finding the Third Proportional to 1,605,847 and 2,364,411

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Solution

The third proportional to 1,605,847 and 2,364,411 is: 3,481,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,847 : 2,364,411 = 2,364,411 : x
  2. Step 2: Convert to fraction form
    1,605,847/2,364,411 = 2,364,411/x
  3. Step 3: Cross multiply
    1,605,847x = 2,364,411 × 2,364,411
  4. Step 4: Simplify right side
    1,605,847x = 5,590,439,376,921
  5. Step 5: Solve for x
    x = 5,590,439,376,921/1,605,847
  6. Step 6: Final answer
    x = 3,481,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.