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Finding the Third Proportional to 741,661 and 1,588,297

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Solution

The third proportional to 741,661 and 1,588,297 is: 3,401,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,661 : 1,588,297 = 1,588,297 : x
  2. Step 2: Convert to fraction form
    741,661/1,588,297 = 1,588,297/x
  3. Step 3: Cross multiply
    741,661x = 1,588,297 × 1,588,297
  4. Step 4: Simplify right side
    741,661x = 2,522,687,360,209
  5. Step 5: Solve for x
    x = 2,522,687,360,209/741,661
  6. Step 6: Final answer
    x = 3,401,402.20

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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.