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Finding the Third Proportional to 720,147 and 1,567,302

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Solution

The third proportional to 720,147 and 1,567,302 is: 3,411,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,147 : 1,567,302 = 1,567,302 : x
  2. Step 2: Convert to fraction form
    720,147/1,567,302 = 1,567,302/x
  3. Step 3: Cross multiply
    720,147x = 1,567,302 × 1,567,302
  4. Step 4: Simplify right side
    720,147x = 2,456,435,559,204
  5. Step 5: Solve for x
    x = 2,456,435,559,204/720,147
  6. Step 6: Final answer
    x = 3,411,019.64

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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.