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Finding the Third Proportional to 436,824 and 954,468

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Solution

The third proportional to 436,824 and 954,468 is: 2,085,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,824 : 954,468 = 954,468 : x
  2. Step 2: Convert to fraction form
    436,824/954,468 = 954,468/x
  3. Step 3: Cross multiply
    436,824x = 954,468 × 954,468
  4. Step 4: Simplify right side
    436,824x = 911,009,163,024
  5. Step 5: Solve for x
    x = 911,009,163,024/436,824
  6. Step 6: Final answer
    x = 2,085,529.10

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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.