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Finding the Third Proportional to 1,153,565 and 1,747,524

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Solution

The third proportional to 1,153,565 and 1,747,524 is: 2,647,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,565 : 1,747,524 = 1,747,524 : x
  2. Step 2: Convert to fraction form
    1,153,565/1,747,524 = 1,747,524/x
  3. Step 3: Cross multiply
    1,153,565x = 1,747,524 × 1,747,524
  4. Step 4: Simplify right side
    1,153,565x = 3,053,840,130,576
  5. Step 5: Solve for x
    x = 3,053,840,130,576/1,153,565
  6. Step 6: Final answer
    x = 2,647,306.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.