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Finding the Third Proportional to 971,298 and 2,060,946

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Solution

The third proportional to 971,298 and 2,060,946 is: 4,373,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,298 : 2,060,946 = 2,060,946 : x
  2. Step 2: Convert to fraction form
    971,298/2,060,946 = 2,060,946/x
  3. Step 3: Cross multiply
    971,298x = 2,060,946 × 2,060,946
  4. Step 4: Simplify right side
    971,298x = 4,247,498,414,916
  5. Step 5: Solve for x
    x = 4,247,498,414,916/971,298
  6. Step 6: Final answer
    x = 4,373,012.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.