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Finding the Third Proportional to 1,606,672 and 2,348,433

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Solution

The third proportional to 1,606,672 and 2,348,433 is: 3,432,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,672 : 2,348,433 = 2,348,433 : x
  2. Step 2: Convert to fraction form
    1,606,672/2,348,433 = 2,348,433/x
  3. Step 3: Cross multiply
    1,606,672x = 2,348,433 × 2,348,433
  4. Step 4: Simplify right side
    1,606,672x = 5,515,137,555,489
  5. Step 5: Solve for x
    x = 5,515,137,555,489/1,606,672
  6. Step 6: Final answer
    x = 3,432,646.83

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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.