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Finding the Third Proportional to 966,834 and 2,073,564

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Solution

The third proportional to 966,834 and 2,073,564 is: 4,447,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,834 : 2,073,564 = 2,073,564 : x
  2. Step 2: Convert to fraction form
    966,834/2,073,564 = 2,073,564/x
  3. Step 3: Cross multiply
    966,834x = 2,073,564 × 2,073,564
  4. Step 4: Simplify right side
    966,834x = 4,299,667,662,096
  5. Step 5: Solve for x
    x = 4,299,667,662,096/966,834
  6. Step 6: Final answer
    x = 4,447,162.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.