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Finding the Third Proportional to 948,492 and 1,446,822

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Solution

The third proportional to 948,492 and 1,446,822 is: 2,206,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,492 : 1,446,822 = 1,446,822 : x
  2. Step 2: Convert to fraction form
    948,492/1,446,822 = 1,446,822/x
  3. Step 3: Cross multiply
    948,492x = 1,446,822 × 1,446,822
  4. Step 4: Simplify right side
    948,492x = 2,093,293,899,684
  5. Step 5: Solve for x
    x = 2,093,293,899,684/948,492
  6. Step 6: Final answer
    x = 2,206,970.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.