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Finding the Third Proportional to 466,602 and 964,308

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Solution

The third proportional to 466,602 and 964,308 is: 1,992,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,602 : 964,308 = 964,308 : x
  2. Step 2: Convert to fraction form
    466,602/964,308 = 964,308/x
  3. Step 3: Cross multiply
    466,602x = 964,308 × 964,308
  4. Step 4: Simplify right side
    466,602x = 929,889,918,864
  5. Step 5: Solve for x
    x = 929,889,918,864/466,602
  6. Step 6: Final answer
    x = 1,992,897.41

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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.