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Finding the Third Proportional to 652,352 and 918,652

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Solution

The third proportional to 652,352 and 918,652 is: 1,293,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,352 : 918,652 = 918,652 : x
  2. Step 2: Convert to fraction form
    652,352/918,652 = 918,652/x
  3. Step 3: Cross multiply
    652,352x = 918,652 × 918,652
  4. Step 4: Simplify right side
    652,352x = 843,921,497,104
  5. Step 5: Solve for x
    x = 843,921,497,104/652,352
  6. Step 6: Final answer
    x = 1,293,659.71

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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.