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Finding the Third Proportional to 1,218,884 and 2,625,075

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Solution

The third proportional to 1,218,884 and 2,625,075 is: 5,653,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,884 : 2,625,075 = 2,625,075 : x
  2. Step 2: Convert to fraction form
    1,218,884/2,625,075 = 2,625,075/x
  3. Step 3: Cross multiply
    1,218,884x = 2,625,075 × 2,625,075
  4. Step 4: Simplify right side
    1,218,884x = 6,891,018,755,625
  5. Step 5: Solve for x
    x = 6,891,018,755,625/1,218,884
  6. Step 6: Final answer
    x = 5,653,547.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.