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Finding the Third Proportional to 701,049 and 1,525,114

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Solution

The third proportional to 701,049 and 1,525,114 is: 3,317,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,049 : 1,525,114 = 1,525,114 : x
  2. Step 2: Convert to fraction form
    701,049/1,525,114 = 1,525,114/x
  3. Step 3: Cross multiply
    701,049x = 1,525,114 × 1,525,114
  4. Step 4: Simplify right side
    701,049x = 2,325,972,712,996
  5. Step 5: Solve for x
    x = 2,325,972,712,996/701,049
  6. Step 6: Final answer
    x = 3,317,846.13

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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.