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Finding the Third Proportional to 713,208 and 1,459,206

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Solution

The third proportional to 713,208 and 1,459,206 is: 2,985,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,208 : 1,459,206 = 1,459,206 : x
  2. Step 2: Convert to fraction form
    713,208/1,459,206 = 1,459,206/x
  3. Step 3: Cross multiply
    713,208x = 1,459,206 × 1,459,206
  4. Step 4: Simplify right side
    713,208x = 2,129,282,150,436
  5. Step 5: Solve for x
    x = 2,129,282,150,436/713,208
  6. Step 6: Final answer
    x = 2,985,499.53

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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.