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Finding the Third Proportional to 720,186 and 1,569,966

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Solution

The third proportional to 720,186 and 1,569,966 is: 3,422,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,186 : 1,569,966 = 1,569,966 : x
  2. Step 2: Convert to fraction form
    720,186/1,569,966 = 1,569,966/x
  3. Step 3: Cross multiply
    720,186x = 1,569,966 × 1,569,966
  4. Step 4: Simplify right side
    720,186x = 2,464,793,241,156
  5. Step 5: Solve for x
    x = 2,464,793,241,156/720,186
  6. Step 6: Final answer
    x = 3,422,439.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.