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Finding the Third Proportional to 1,198,492 and 2,567,570

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Solution

The third proportional to 1,198,492 and 2,567,570 is: 5,500,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,492 : 2,567,570 = 2,567,570 : x
  2. Step 2: Convert to fraction form
    1,198,492/2,567,570 = 2,567,570/x
  3. Step 3: Cross multiply
    1,198,492x = 2,567,570 × 2,567,570
  4. Step 4: Simplify right side
    1,198,492x = 6,592,415,704,900
  5. Step 5: Solve for x
    x = 6,592,415,704,900/1,198,492
  6. Step 6: Final answer
    x = 5,500,592.16

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Why These Related Problems?

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