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Finding the Third Proportional to 893,492 and 1,947,634

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Solution

The third proportional to 893,492 and 1,947,634 is: 4,245,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,492 : 1,947,634 = 1,947,634 : x
  2. Step 2: Convert to fraction form
    893,492/1,947,634 = 1,947,634/x
  3. Step 3: Cross multiply
    893,492x = 1,947,634 × 1,947,634
  4. Step 4: Simplify right side
    893,492x = 3,793,278,197,956
  5. Step 5: Solve for x
    x = 3,793,278,197,956/893,492
  6. Step 6: Final answer
    x = 4,245,452.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.