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Finding the Third Proportional to 436,598 and 954,352

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Solution

The third proportional to 436,598 and 954,352 is: 2,086,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,598 : 954,352 = 954,352 : x
  2. Step 2: Convert to fraction form
    436,598/954,352 = 954,352/x
  3. Step 3: Cross multiply
    436,598x = 954,352 × 954,352
  4. Step 4: Simplify right side
    436,598x = 910,787,739,904
  5. Step 5: Solve for x
    x = 910,787,739,904/436,598
  6. Step 6: Final answer
    x = 2,086,101.49

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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.