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Finding the Third Proportional to 1,609,543 and 2,414,511

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Solution

The third proportional to 1,609,543 and 2,414,511 is: 3,622,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,543 : 2,414,511 = 2,414,511 : x
  2. Step 2: Convert to fraction form
    1,609,543/2,414,511 = 2,414,511/x
  3. Step 3: Cross multiply
    1,609,543x = 2,414,511 × 2,414,511
  4. Step 4: Simplify right side
    1,609,543x = 5,829,863,369,121
  5. Step 5: Solve for x
    x = 5,829,863,369,121/1,609,543
  6. Step 6: Final answer
    x = 3,622,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.