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Finding the Third Proportional to 741,743 and 1,588,461

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Solution

The third proportional to 741,743 and 1,588,461 is: 3,401,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,743 : 1,588,461 = 1,588,461 : x
  2. Step 2: Convert to fraction form
    741,743/1,588,461 = 1,588,461/x
  3. Step 3: Cross multiply
    741,743x = 1,588,461 × 1,588,461
  4. Step 4: Simplify right side
    741,743x = 2,523,208,348,521
  5. Step 5: Solve for x
    x = 2,523,208,348,521/741,743
  6. Step 6: Final answer
    x = 3,401,728.56

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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.