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Finding the Third Proportional to 612,102 and 860,445

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Solution

The third proportional to 612,102 and 860,445 is: 1,209,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,102 : 860,445 = 860,445 : x
  2. Step 2: Convert to fraction form
    612,102/860,445 = 860,445/x
  3. Step 3: Cross multiply
    612,102x = 860,445 × 860,445
  4. Step 4: Simplify right side
    612,102x = 740,365,598,025
  5. Step 5: Solve for x
    x = 740,365,598,025/612,102
  6. Step 6: Final answer
    x = 1,209,546.12

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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.