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Finding the Third Proportional to 436,966 and 934,644

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Solution

The third proportional to 436,966 and 934,644 is: 1,999,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,966 : 934,644 = 934,644 : x
  2. Step 2: Convert to fraction form
    436,966/934,644 = 934,644/x
  3. Step 3: Cross multiply
    436,966x = 934,644 × 934,644
  4. Step 4: Simplify right side
    436,966x = 873,559,406,736
  5. Step 5: Solve for x
    x = 873,559,406,736/436,966
  6. Step 6: Final answer
    x = 1,999,147.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.