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Finding the Third Proportional to 421,697.67 and 918,269.72

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Solution

The third proportional to 421,697.67 and 918,269.72 is: 1,999,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,697.67 : 918,269.72 = 918,269.72 : x
  2. Step 2: Convert to fraction form
    421,697.67/918,269.72 = 918,269.72/x
  3. Step 3: Cross multiply
    421,697.67x = 918,269.72 × 918,269.72
  4. Step 4: Simplify right side
    421,697.67x = 843,219,276,373.20
  5. Step 5: Solve for x
    x = 843,219,276,373.20/421,697.67
  6. Step 6: Final answer
    x = 1,999,582.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.