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Finding the Third Proportional to 435,017 and 963,349

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Solution

The third proportional to 435,017 and 963,349 is: 2,133,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,017 : 963,349 = 963,349 : x
  2. Step 2: Convert to fraction form
    435,017/963,349 = 963,349/x
  3. Step 3: Cross multiply
    435,017x = 963,349 × 963,349
  4. Step 4: Simplify right side
    435,017x = 928,041,295,801
  5. Step 5: Solve for x
    x = 928,041,295,801/435,017
  6. Step 6: Final answer
    x = 2,133,344.89

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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.