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Finding the Third Proportional to 652,364 and 918,670

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Solution

The third proportional to 652,364 and 918,670 is: 1,293,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,364 : 918,670 = 918,670 : x
  2. Step 2: Convert to fraction form
    652,364/918,670 = 918,670/x
  3. Step 3: Cross multiply
    652,364x = 918,670 × 918,670
  4. Step 4: Simplify right side
    652,364x = 843,954,568,900
  5. Step 5: Solve for x
    x = 843,954,568,900/652,364
  6. Step 6: Final answer
    x = 1,293,686.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.