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Finding the Third Proportional to 894,156 and 1,352,790

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Solution

The third proportional to 894,156 and 1,352,790 is: 2,046,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,156 : 1,352,790 = 1,352,790 : x
  2. Step 2: Convert to fraction form
    894,156/1,352,790 = 1,352,790/x
  3. Step 3: Cross multiply
    894,156x = 1,352,790 × 1,352,790
  4. Step 4: Simplify right side
    894,156x = 1,830,040,784,100
  5. Step 5: Solve for x
    x = 1,830,040,784,100/894,156
  6. Step 6: Final answer
    x = 2,046,668.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.