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Finding the Third Proportional to 447,639 and 961,536

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Solution

The third proportional to 447,639 and 961,536 is: 2,065,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,639 : 961,536 = 961,536 : x
  2. Step 2: Convert to fraction form
    447,639/961,536 = 961,536/x
  3. Step 3: Cross multiply
    447,639x = 961,536 × 961,536
  4. Step 4: Simplify right side
    447,639x = 924,551,479,296
  5. Step 5: Solve for x
    x = 924,551,479,296/447,639
  6. Step 6: Final answer
    x = 2,065,395.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.