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Finding the Third Proportional to 701,670 and 1,130,019

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Solution

The third proportional to 701,670 and 1,130,019 is: 1,819,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,670 : 1,130,019 = 1,130,019 : x
  2. Step 2: Convert to fraction form
    701,670/1,130,019 = 1,130,019/x
  3. Step 3: Cross multiply
    701,670x = 1,130,019 × 1,130,019
  4. Step 4: Simplify right side
    701,670x = 1,276,942,940,361
  5. Step 5: Solve for x
    x = 1,276,942,940,361/701,670
  6. Step 6: Final answer
    x = 1,819,862.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.