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Finding the Third Proportional to 429,867 and 934,364.25

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Solution

The third proportional to 429,867 and 934,364.25 is: 2,030,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,867 : 934,364.25 = 934,364.25 : x
  2. Step 2: Convert to fraction form
    429,867/934,364.25 = 934,364.25/x
  3. Step 3: Cross multiply
    429,867x = 934,364.25 × 934,364.25
  4. Step 4: Simplify right side
    429,867x = 873,036,551,678.06
  5. Step 5: Solve for x
    x = 873,036,551,678.06/429,867
  6. Step 6: Final answer
    x = 2,030,945.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.