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Finding the Third Proportional to 945,648 and 2,075,004

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Solution

The third proportional to 945,648 and 2,075,004 is: 4,553,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,648 : 2,075,004 = 2,075,004 : x
  2. Step 2: Convert to fraction form
    945,648/2,075,004 = 2,075,004/x
  3. Step 3: Cross multiply
    945,648x = 2,075,004 × 2,075,004
  4. Step 4: Simplify right side
    945,648x = 4,305,641,600,016
  5. Step 5: Solve for x
    x = 4,305,641,600,016/945,648
  6. Step 6: Final answer
    x = 4,553,112.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.