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Finding the Third Proportional to 453,624 and 986,064

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Solution

The third proportional to 453,624 and 986,064 is: 2,143,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,624 : 986,064 = 986,064 : x
  2. Step 2: Convert to fraction form
    453,624/986,064 = 986,064/x
  3. Step 3: Cross multiply
    453,624x = 986,064 × 986,064
  4. Step 4: Simplify right side
    453,624x = 972,322,212,096
  5. Step 5: Solve for x
    x = 972,322,212,096/453,624
  6. Step 6: Final answer
    x = 2,143,454.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.