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Finding the Third Proportional to 470,353.50 and 1,016,172

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Solution

The third proportional to 470,353.50 and 1,016,172 is: 2,195,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353.50 : 1,016,172 = 1,016,172 : x
  2. Step 2: Convert to fraction form
    470,353.50/1,016,172 = 1,016,172/x
  3. Step 3: Cross multiply
    470,353.50x = 1,016,172 × 1,016,172
  4. Step 4: Simplify right side
    470,353.50x = 1,032,605,533,584
  5. Step 5: Solve for x
    x = 1,032,605,533,584/470,353.50
  6. Step 6: Final answer
    x = 2,195,381.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.