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Finding the Third Proportional to 1,167,075 and 2,415,078

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Solution

The third proportional to 1,167,075 and 2,415,078 is: 4,997,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,075 : 2,415,078 = 2,415,078 : x
  2. Step 2: Convert to fraction form
    1,167,075/2,415,078 = 2,415,078/x
  3. Step 3: Cross multiply
    1,167,075x = 2,415,078 × 2,415,078
  4. Step 4: Simplify right side
    1,167,075x = 5,832,601,746,084
  5. Step 5: Solve for x
    x = 5,832,601,746,084/1,167,075
  6. Step 6: Final answer
    x = 4,997,623.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.