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Finding the Third Proportional to 971,692 and 2,005,621

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Solution

The third proportional to 971,692 and 2,005,621 is: 4,139,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,692 : 2,005,621 = 2,005,621 : x
  2. Step 2: Convert to fraction form
    971,692/2,005,621 = 2,005,621/x
  3. Step 3: Cross multiply
    971,692x = 2,005,621 × 2,005,621
  4. Step 4: Simplify right side
    971,692x = 4,022,515,595,641
  5. Step 5: Solve for x
    x = 4,022,515,595,641/971,692
  6. Step 6: Final answer
    x = 4,139,702.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.