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Finding the Third Proportional to 894,175 and 1,352,819

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Solution

The third proportional to 894,175 and 1,352,819 is: 2,046,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,175 : 1,352,819 = 1,352,819 : x
  2. Step 2: Convert to fraction form
    894,175/1,352,819 = 1,352,819/x
  3. Step 3: Cross multiply
    894,175x = 1,352,819 × 1,352,819
  4. Step 4: Simplify right side
    894,175x = 1,830,119,246,761
  5. Step 5: Solve for x
    x = 1,830,119,246,761/894,175
  6. Step 6: Final answer
    x = 2,046,712.61

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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.