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Finding the Third Proportional to 697,777 and 1,502,472

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Solution

The third proportional to 697,777 and 1,502,472 is: 3,235,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,777 : 1,502,472 = 1,502,472 : x
  2. Step 2: Convert to fraction form
    697,777/1,502,472 = 1,502,472/x
  3. Step 3: Cross multiply
    697,777x = 1,502,472 × 1,502,472
  4. Step 4: Simplify right side
    697,777x = 2,257,422,110,784
  5. Step 5: Solve for x
    x = 2,257,422,110,784/697,777
  6. Step 6: Final answer
    x = 3,235,162.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.