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Finding the Third Proportional to 571,851 and 1,191,109.50

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Solution

The third proportional to 571,851 and 1,191,109.50 is: 2,480,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,851 : 1,191,109.50 = 1,191,109.50 : x
  2. Step 2: Convert to fraction form
    571,851/1,191,109.50 = 1,191,109.50/x
  3. Step 3: Cross multiply
    571,851x = 1,191,109.50 × 1,191,109.50
  4. Step 4: Simplify right side
    571,851x = 1,418,741,840,990.25
  5. Step 5: Solve for x
    x = 1,418,741,840,990.25/571,851
  6. Step 6: Final answer
    x = 2,480,964.17

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.