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Finding the Third Proportional to 1,188,454 and 2,561,708

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Solution

The third proportional to 1,188,454 and 2,561,708 is: 5,521,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,454 : 2,561,708 = 2,561,708 : x
  2. Step 2: Convert to fraction form
    1,188,454/2,561,708 = 2,561,708/x
  3. Step 3: Cross multiply
    1,188,454x = 2,561,708 × 2,561,708
  4. Step 4: Simplify right side
    1,188,454x = 6,562,347,877,264
  5. Step 5: Solve for x
    x = 6,562,347,877,264/1,188,454
  6. Step 6: Final answer
    x = 5,521,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.