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Finding the Third Proportional to 966,746 and 2,073,456

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Solution

The third proportional to 966,746 and 2,073,456 is: 4,447,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,746 : 2,073,456 = 2,073,456 : x
  2. Step 2: Convert to fraction form
    966,746/2,073,456 = 2,073,456/x
  3. Step 3: Cross multiply
    966,746x = 2,073,456 × 2,073,456
  4. Step 4: Simplify right side
    966,746x = 4,299,219,783,936
  5. Step 5: Solve for x
    x = 4,299,219,783,936/966,746
  6. Step 6: Final answer
    x = 4,447,103.77

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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.