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Finding the Third Proportional to 429,401.25 and 917,851.50

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Solution

The third proportional to 429,401.25 and 917,851.50 is: 1,961,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,401.25 : 917,851.50 = 917,851.50 : x
  2. Step 2: Convert to fraction form
    429,401.25/917,851.50 = 917,851.50/x
  3. Step 3: Cross multiply
    429,401.25x = 917,851.50 × 917,851.50
  4. Step 4: Simplify right side
    429,401.25x = 842,451,376,052.25
  5. Step 5: Solve for x
    x = 842,451,376,052.25/429,401.25
  6. Step 6: Final answer
    x = 1,961,921.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.