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Finding the Third Proportional to 945,889 and 2,075,728

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Solution

The third proportional to 945,889 and 2,075,728 is: 4,555,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,889 : 2,075,728 = 2,075,728 : x
  2. Step 2: Convert to fraction form
    945,889/2,075,728 = 2,075,728/x
  3. Step 3: Cross multiply
    945,889x = 2,075,728 × 2,075,728
  4. Step 4: Simplify right side
    945,889x = 4,308,646,729,984
  5. Step 5: Solve for x
    x = 4,308,646,729,984/945,889
  6. Step 6: Final answer
    x = 4,555,129.33

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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.