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Finding the Third Proportional to 697,782 and 1,502,480

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Solution

The third proportional to 697,782 and 1,502,480 is: 3,235,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,782 : 1,502,480 = 1,502,480 : x
  2. Step 2: Convert to fraction form
    697,782/1,502,480 = 1,502,480/x
  3. Step 3: Cross multiply
    697,782x = 1,502,480 × 1,502,480
  4. Step 4: Simplify right side
    697,782x = 2,257,446,150,400
  5. Step 5: Solve for x
    x = 2,257,446,150,400/697,782
  6. Step 6: Final answer
    x = 3,235,173.95

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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.