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Finding the Third Proportional to 470,110.50 and 1,015,030.50

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Solution

The third proportional to 470,110.50 and 1,015,030.50 is: 2,191,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,110.50 : 1,015,030.50 = 1,015,030.50 : x
  2. Step 2: Convert to fraction form
    470,110.50/1,015,030.50 = 1,015,030.50/x
  3. Step 3: Cross multiply
    470,110.50x = 1,015,030.50 × 1,015,030.50
  4. Step 4: Simplify right side
    470,110.50x = 1,030,286,915,930.25
  5. Step 5: Solve for x
    x = 1,030,286,915,930.25/470,110.50
  6. Step 6: Final answer
    x = 2,191,584.57

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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.