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Finding the Third Proportional to 4,229,763 and 6,267,832.50

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Solution

The third proportional to 4,229,763 and 6,267,832.50 is: 9,287,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229,763 : 6,267,832.50 = 6,267,832.50 : x
  2. Step 2: Convert to fraction form
    4,229,763/6,267,832.50 = 6,267,832.50/x
  3. Step 3: Cross multiply
    4,229,763x = 6,267,832.50 × 6,267,832.50
  4. Step 4: Simplify right side
    4,229,763x = 39,285,724,248,056.25
  5. Step 5: Solve for x
    x = 39,285,724,248,056.25/4,229,763
  6. Step 6: Final answer
    x = 9,287,925.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.