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Finding the Third Proportional to 389,952 and 850,416

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Solution

The third proportional to 389,952 and 850,416 is: 1,854,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,952 : 850,416 = 850,416 : x
  2. Step 2: Convert to fraction form
    389,952/850,416 = 850,416/x
  3. Step 3: Cross multiply
    389,952x = 850,416 × 850,416
  4. Step 4: Simplify right side
    389,952x = 723,207,373,056
  5. Step 5: Solve for x
    x = 723,207,373,056/389,952
  6. Step 6: Final answer
    x = 1,854,606.14

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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.