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Finding the Third Proportional to 966,496 and 2,092,280

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Solution

The third proportional to 966,496 and 2,092,280 is: 4,529,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,496 : 2,092,280 = 2,092,280 : x
  2. Step 2: Convert to fraction form
    966,496/2,092,280 = 2,092,280/x
  3. Step 3: Cross multiply
    966,496x = 2,092,280 × 2,092,280
  4. Step 4: Simplify right side
    966,496x = 4,377,635,598,400
  5. Step 5: Solve for x
    x = 4,377,635,598,400/966,496
  6. Step 6: Final answer
    x = 4,529,388.22

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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.