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Finding the Third Proportional to 612,096 and 860,439

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Solution

The third proportional to 612,096 and 860,439 is: 1,209,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,096 : 860,439 = 860,439 : x
  2. Step 2: Convert to fraction form
    612,096/860,439 = 860,439/x
  3. Step 3: Cross multiply
    612,096x = 860,439 × 860,439
  4. Step 4: Simplify right side
    612,096x = 740,355,272,721
  5. Step 5: Solve for x
    x = 740,355,272,721/612,096
  6. Step 6: Final answer
    x = 1,209,541.11

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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.