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Finding the Third Proportional to 884,297.25 and 1,894,772.25

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Solution

The third proportional to 884,297.25 and 1,894,772.25 is: 4,059,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,297.25 : 1,894,772.25 = 1,894,772.25 : x
  2. Step 2: Convert to fraction form
    884,297.25/1,894,772.25 = 1,894,772.25/x
  3. Step 3: Cross multiply
    884,297.25x = 1,894,772.25 × 1,894,772.25
  4. Step 4: Simplify right side
    884,297.25x = 3,590,161,879,370.06
  5. Step 5: Solve for x
    x = 3,590,161,879,370.06/884,297.25
  6. Step 6: Final answer
    x = 4,059,903.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.