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Finding the Third Proportional to 816,496 and 1,773,202

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Solution

The third proportional to 816,496 and 1,773,202 is: 3,850,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,496 : 1,773,202 = 1,773,202 : x
  2. Step 2: Convert to fraction form
    816,496/1,773,202 = 1,773,202/x
  3. Step 3: Cross multiply
    816,496x = 1,773,202 × 1,773,202
  4. Step 4: Simplify right side
    816,496x = 3,144,245,332,804
  5. Step 5: Solve for x
    x = 3,144,245,332,804/816,496
  6. Step 6: Final answer
    x = 3,850,901.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.