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Finding the Third Proportional to 466,619 and 964,342

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Solution

The third proportional to 466,619 and 964,342 is: 1,992,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,619 : 964,342 = 964,342 : x
  2. Step 2: Convert to fraction form
    466,619/964,342 = 964,342/x
  3. Step 3: Cross multiply
    466,619x = 964,342 × 964,342
  4. Step 4: Simplify right side
    466,619x = 929,955,492,964
  5. Step 5: Solve for x
    x = 929,955,492,964/466,619
  6. Step 6: Final answer
    x = 1,992,965.34

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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.