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Finding the Third Proportional to 809,966 and 1,875,083

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Solution

The third proportional to 809,966 and 1,875,083 is: 4,340,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,966 : 1,875,083 = 1,875,083 : x
  2. Step 2: Convert to fraction form
    809,966/1,875,083 = 1,875,083/x
  3. Step 3: Cross multiply
    809,966x = 1,875,083 × 1,875,083
  4. Step 4: Simplify right side
    809,966x = 3,515,936,256,889
  5. Step 5: Solve for x
    x = 3,515,936,256,889/809,966
  6. Step 6: Final answer
    x = 4,340,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.