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Finding the Third Proportional to 453,291 and 986,655

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Solution

The third proportional to 453,291 and 986,655 is: 2,147,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,291 : 986,655 = 986,655 : x
  2. Step 2: Convert to fraction form
    453,291/986,655 = 986,655/x
  3. Step 3: Cross multiply
    453,291x = 986,655 × 986,655
  4. Step 4: Simplify right side
    453,291x = 973,488,089,025
  5. Step 5: Solve for x
    x = 973,488,089,025/453,291
  6. Step 6: Final answer
    x = 2,147,600.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.