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Finding the Third Proportional to 1,605,827 and 2,348,427

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Solution

The third proportional to 1,605,827 and 2,348,427 is: 3,434,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,827 : 2,348,427 = 2,348,427 : x
  2. Step 2: Convert to fraction form
    1,605,827/2,348,427 = 2,348,427/x
  3. Step 3: Cross multiply
    1,605,827x = 2,348,427 × 2,348,427
  4. Step 4: Simplify right side
    1,605,827x = 5,515,109,374,329
  5. Step 5: Solve for x
    x = 5,515,109,374,329/1,605,827
  6. Step 6: Final answer
    x = 3,434,435.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.