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Finding the Third Proportional to 2,291,871 and 4,856,946

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Solution

The third proportional to 2,291,871 and 4,856,946 is: 10,292,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,871 : 4,856,946 = 4,856,946 : x
  2. Step 2: Convert to fraction form
    2,291,871/4,856,946 = 4,856,946/x
  3. Step 3: Cross multiply
    2,291,871x = 4,856,946 × 4,856,946
  4. Step 4: Simplify right side
    2,291,871x = 23,589,924,446,916
  5. Step 5: Solve for x
    x = 23,589,924,446,916/2,291,871
  6. Step 6: Final answer
    x = 10,292,867.46

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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.