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Finding the Third Proportional to 456,492 and 985,164

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Solution

The third proportional to 456,492 and 985,164 is: 2,126,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,492 : 985,164 = 985,164 : x
  2. Step 2: Convert to fraction form
    456,492/985,164 = 985,164/x
  3. Step 3: Cross multiply
    456,492x = 985,164 × 985,164
  4. Step 4: Simplify right side
    456,492x = 970,548,106,896
  5. Step 5: Solve for x
    x = 970,548,106,896/456,492
  6. Step 6: Final answer
    x = 2,126,101.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.