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Finding the Third Proportional to 1,197,304 and 2,560,640

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Solution

The third proportional to 1,197,304 and 2,560,640 is: 5,476,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,304 : 2,560,640 = 2,560,640 : x
  2. Step 2: Convert to fraction form
    1,197,304/2,560,640 = 2,560,640/x
  3. Step 3: Cross multiply
    1,197,304x = 2,560,640 × 2,560,640
  4. Step 4: Simplify right side
    1,197,304x = 6,556,877,209,600
  5. Step 5: Solve for x
    x = 6,556,877,209,600/1,197,304
  6. Step 6: Final answer
    x = 5,476,367.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.