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Finding the Third Proportional to 436,599 and 954,354

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Solution

The third proportional to 436,599 and 954,354 is: 2,086,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,599 : 954,354 = 954,354 : x
  2. Step 2: Convert to fraction form
    436,599/954,354 = 954,354/x
  3. Step 3: Cross multiply
    436,599x = 954,354 × 954,354
  4. Step 4: Simplify right side
    436,599x = 910,791,557,316
  5. Step 5: Solve for x
    x = 910,791,557,316/436,599
  6. Step 6: Final answer
    x = 2,086,105.46

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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.