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Finding the Third Proportional to 1,564,111 and 3,427,193

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Solution

The third proportional to 1,564,111 and 3,427,193 is: 7,509,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,111 : 3,427,193 = 3,427,193 : x
  2. Step 2: Convert to fraction form
    1,564,111/3,427,193 = 3,427,193/x
  3. Step 3: Cross multiply
    1,564,111x = 3,427,193 × 3,427,193
  4. Step 4: Simplify right side
    1,564,111x = 11,745,651,859,249
  5. Step 5: Solve for x
    x = 11,745,651,859,249/1,564,111
  6. Step 6: Final answer
    x = 7,509,474.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.