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Finding the Third Proportional to 945,869 and 2,075,689

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Solution

The third proportional to 945,869 and 2,075,689 is: 4,555,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,869 : 2,075,689 = 2,075,689 : x
  2. Step 2: Convert to fraction form
    945,869/2,075,689 = 2,075,689/x
  3. Step 3: Cross multiply
    945,869x = 2,075,689 × 2,075,689
  4. Step 4: Simplify right side
    945,869x = 4,308,484,824,721
  5. Step 5: Solve for x
    x = 4,308,484,824,721/945,869
  6. Step 6: Final answer
    x = 4,555,054.48

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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.