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Finding the Third Proportional to 2,305,075.50 and 3,382,878

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Solution

The third proportional to 2,305,075.50 and 3,382,878 is: 4,964,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,075.50 : 3,382,878 = 3,382,878 : x
  2. Step 2: Convert to fraction form
    2,305,075.50/3,382,878 = 3,382,878/x
  3. Step 3: Cross multiply
    2,305,075.50x = 3,382,878 × 3,382,878
  4. Step 4: Simplify right side
    2,305,075.50x = 11,443,863,562,884
  5. Step 5: Solve for x
    x = 11,443,863,562,884/2,305,075.50
  6. Step 6: Final answer
    x = 4,964,637.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.