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Finding the Third Proportional to 462,492 and 937,741

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Solution

The third proportional to 462,492 and 937,741 is: 1,901,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,492 : 937,741 = 937,741 : x
  2. Step 2: Convert to fraction form
    462,492/937,741 = 937,741/x
  3. Step 3: Cross multiply
    462,492x = 937,741 × 937,741
  4. Step 4: Simplify right side
    462,492x = 879,358,183,081
  5. Step 5: Solve for x
    x = 879,358,183,081/462,492
  6. Step 6: Final answer
    x = 1,901,347.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.