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Finding the Third Proportional to 701,015 and 1,525,049

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Solution

The third proportional to 701,015 and 1,525,049 is: 3,317,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,015 : 1,525,049 = 1,525,049 : x
  2. Step 2: Convert to fraction form
    701,015/1,525,049 = 1,525,049/x
  3. Step 3: Cross multiply
    701,015x = 1,525,049 × 1,525,049
  4. Step 4: Simplify right side
    701,015x = 2,325,774,452,401
  5. Step 5: Solve for x
    x = 2,325,774,452,401/701,015
  6. Step 6: Final answer
    x = 3,317,724.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.