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Finding the Third Proportional to 441,965 and 967,522

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Solution

The third proportional to 441,965 and 967,522 is: 2,118,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,965 : 967,522 = 967,522 : x
  2. Step 2: Convert to fraction form
    441,965/967,522 = 967,522/x
  3. Step 3: Cross multiply
    441,965x = 967,522 × 967,522
  4. Step 4: Simplify right side
    441,965x = 936,098,820,484
  5. Step 5: Solve for x
    x = 936,098,820,484/441,965
  6. Step 6: Final answer
    x = 2,118,038.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.