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Finding the Third Proportional to 966,294 and 2,057,328

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Solution

The third proportional to 966,294 and 2,057,328 is: 4,380,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,294 : 2,057,328 = 2,057,328 : x
  2. Step 2: Convert to fraction form
    966,294/2,057,328 = 2,057,328/x
  3. Step 3: Cross multiply
    966,294x = 2,057,328 × 2,057,328
  4. Step 4: Simplify right side
    966,294x = 4,232,598,499,584
  5. Step 5: Solve for x
    x = 4,232,598,499,584/966,294
  6. Step 6: Final answer
    x = 4,380,238.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.