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Finding the Third Proportional to 898,983 and 1,963,631.25

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Solution

The third proportional to 898,983 and 1,963,631.25 is: 4,289,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,983 : 1,963,631.25 = 1,963,631.25 : x
  2. Step 2: Convert to fraction form
    898,983/1,963,631.25 = 1,963,631.25/x
  3. Step 3: Cross multiply
    898,983x = 1,963,631.25 × 1,963,631.25
  4. Step 4: Simplify right side
    898,983x = 3,855,847,685,976.56
  5. Step 5: Solve for x
    x = 3,855,847,685,976.56/898,983
  6. Step 6: Final answer
    x = 4,289,121.91

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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.