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Finding the Third Proportional to 945,942 and 2,075,844

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Solution

The third proportional to 945,942 and 2,075,844 is: 4,555,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,942 : 2,075,844 = 2,075,844 : x
  2. Step 2: Convert to fraction form
    945,942/2,075,844 = 2,075,844/x
  3. Step 3: Cross multiply
    945,942x = 2,075,844 × 2,075,844
  4. Step 4: Simplify right side
    945,942x = 4,309,128,312,336
  5. Step 5: Solve for x
    x = 4,309,128,312,336/945,942
  6. Step 6: Final answer
    x = 4,555,383.22

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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.