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Finding the Third Proportional to 1,609,904 and 3,352,096

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Solution

The third proportional to 1,609,904 and 3,352,096 is: 6,979,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,904 : 3,352,096 = 3,352,096 : x
  2. Step 2: Convert to fraction form
    1,609,904/3,352,096 = 3,352,096/x
  3. Step 3: Cross multiply
    1,609,904x = 3,352,096 × 3,352,096
  4. Step 4: Simplify right side
    1,609,904x = 11,236,547,593,216
  5. Step 5: Solve for x
    x = 11,236,547,593,216/1,609,904
  6. Step 6: Final answer
    x = 6,979,638.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.