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Finding the Third Proportional to 469,717.50 and 1,047,009

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Solution

The third proportional to 469,717.50 and 1,047,009 is: 2,333,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,717.50 : 1,047,009 = 1,047,009 : x
  2. Step 2: Convert to fraction form
    469,717.50/1,047,009 = 1,047,009/x
  3. Step 3: Cross multiply
    469,717.50x = 1,047,009 × 1,047,009
  4. Step 4: Simplify right side
    469,717.50x = 1,096,227,846,081
  5. Step 5: Solve for x
    x = 1,096,227,846,081/469,717.50
  6. Step 6: Final answer
    x = 2,333,802.44

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.