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Finding the Third Proportional to 713,206 and 1,459,204

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Solution

The third proportional to 713,206 and 1,459,204 is: 2,985,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,206 : 1,459,204 = 1,459,204 : x
  2. Step 2: Convert to fraction form
    713,206/1,459,204 = 1,459,204/x
  3. Step 3: Cross multiply
    713,206x = 1,459,204 × 1,459,204
  4. Step 4: Simplify right side
    713,206x = 2,129,276,313,616
  5. Step 5: Solve for x
    x = 2,129,276,313,616/713,206
  6. Step 6: Final answer
    x = 2,985,499.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.