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Finding the Third Proportional to 452,864.25 and 969,151.50

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Solution

The third proportional to 452,864.25 and 969,151.50 is: 2,074,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,864.25 : 969,151.50 = 969,151.50 : x
  2. Step 2: Convert to fraction form
    452,864.25/969,151.50 = 969,151.50/x
  3. Step 3: Cross multiply
    452,864.25x = 969,151.50 × 969,151.50
  4. Step 4: Simplify right side
    452,864.25x = 939,254,629,952.25
  5. Step 5: Solve for x
    x = 939,254,629,952.25/452,864.25
  6. Step 6: Final answer
    x = 2,074,031.30

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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.