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Finding the Third Proportional to 470,199 and 1,109,779.50

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Solution

The third proportional to 470,199 and 1,109,779.50 is: 2,619,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,199 : 1,109,779.50 = 1,109,779.50 : x
  2. Step 2: Convert to fraction form
    470,199/1,109,779.50 = 1,109,779.50/x
  3. Step 3: Cross multiply
    470,199x = 1,109,779.50 × 1,109,779.50
  4. Step 4: Simplify right side
    470,199x = 1,231,610,538,620.25
  5. Step 5: Solve for x
    x = 1,231,610,538,620.25/470,199
  6. Step 6: Final answer
    x = 2,619,338.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.