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Finding the Third Proportional to 439,497 and 959,534

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Solution

The third proportional to 439,497 and 959,534 is: 2,094,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,497 : 959,534 = 959,534 : x
  2. Step 2: Convert to fraction form
    439,497/959,534 = 959,534/x
  3. Step 3: Cross multiply
    439,497x = 959,534 × 959,534
  4. Step 4: Simplify right side
    439,497x = 920,705,497,156
  5. Step 5: Solve for x
    x = 920,705,497,156/439,497
  6. Step 6: Final answer
    x = 2,094,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.