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Finding the Third Proportional to 612,117 and 860,464.50

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Solution

The third proportional to 612,117 and 860,464.50 is: 1,209,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,117 : 860,464.50 = 860,464.50 : x
  2. Step 2: Convert to fraction form
    612,117/860,464.50 = 860,464.50/x
  3. Step 3: Cross multiply
    612,117x = 860,464.50 × 860,464.50
  4. Step 4: Simplify right side
    612,117x = 740,399,155,760.25
  5. Step 5: Solve for x
    x = 740,399,155,760.25/612,117
  6. Step 6: Final answer
    x = 1,209,571.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.