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Finding the Third Proportional to 741,756 and 1,588,482

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Solution

The third proportional to 741,756 and 1,588,482 is: 3,401,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,756 : 1,588,482 = 1,588,482 : x
  2. Step 2: Convert to fraction form
    741,756/1,588,482 = 1,588,482/x
  3. Step 3: Cross multiply
    741,756x = 1,588,482 × 1,588,482
  4. Step 4: Simplify right side
    741,756x = 2,523,275,064,324
  5. Step 5: Solve for x
    x = 2,523,275,064,324/741,756
  6. Step 6: Final answer
    x = 3,401,758.89

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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.