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Finding the Third Proportional to 466,617 and 964,338

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Solution

The third proportional to 466,617 and 964,338 is: 1,992,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,617 : 964,338 = 964,338 : x
  2. Step 2: Convert to fraction form
    466,617/964,338 = 964,338/x
  3. Step 3: Cross multiply
    466,617x = 964,338 × 964,338
  4. Step 4: Simplify right side
    466,617x = 929,947,778,244
  5. Step 5: Solve for x
    x = 929,947,778,244/466,617
  6. Step 6: Final answer
    x = 1,992,957.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.