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Finding the Third Proportional to 894,177 and 1,352,822

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Solution

The third proportional to 894,177 and 1,352,822 is: 2,046,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,177 : 1,352,822 = 1,352,822 : x
  2. Step 2: Convert to fraction form
    894,177/1,352,822 = 1,352,822/x
  3. Step 3: Cross multiply
    894,177x = 1,352,822 × 1,352,822
  4. Step 4: Simplify right side
    894,177x = 1,830,127,363,684
  5. Step 5: Solve for x
    x = 1,830,127,363,684/894,177
  6. Step 6: Final answer
    x = 2,046,717.11

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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.