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Finding the Third Proportional to 385,181 and 847,222

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Solution

The third proportional to 385,181 and 847,222 is: 1,863,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,181 : 847,222 = 847,222 : x
  2. Step 2: Convert to fraction form
    385,181/847,222 = 847,222/x
  3. Step 3: Cross multiply
    385,181x = 847,222 × 847,222
  4. Step 4: Simplify right side
    385,181x = 717,785,117,284
  5. Step 5: Solve for x
    x = 717,785,117,284/385,181
  6. Step 6: Final answer
    x = 1,863,500.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.