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Finding the Third Proportional to 1,651,609 and 2,413,692

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Solution

The third proportional to 1,651,609 and 2,413,692 is: 3,527,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,609 : 2,413,692 = 2,413,692 : x
  2. Step 2: Convert to fraction form
    1,651,609/2,413,692 = 2,413,692/x
  3. Step 3: Cross multiply
    1,651,609x = 2,413,692 × 2,413,692
  4. Step 4: Simplify right side
    1,651,609x = 5,825,909,070,864
  5. Step 5: Solve for x
    x = 5,825,909,070,864/1,651,609
  6. Step 6: Final answer
    x = 3,527,414.22

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