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Finding the Third Proportional to 435,012 and 963,339

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Solution

The third proportional to 435,012 and 963,339 is: 2,133,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,012 : 963,339 = 963,339 : x
  2. Step 2: Convert to fraction form
    435,012/963,339 = 963,339/x
  3. Step 3: Cross multiply
    435,012x = 963,339 × 963,339
  4. Step 4: Simplify right side
    435,012x = 928,022,028,921
  5. Step 5: Solve for x
    x = 928,022,028,921/435,012
  6. Step 6: Final answer
    x = 2,133,325.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.