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Finding the Third Proportional to 453,536 and 989,962

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Solution

The third proportional to 453,536 and 989,962 is: 2,160,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,536 : 989,962 = 989,962 : x
  2. Step 2: Convert to fraction form
    453,536/989,962 = 989,962/x
  3. Step 3: Cross multiply
    453,536x = 989,962 × 989,962
  4. Step 4: Simplify right side
    453,536x = 980,024,761,444
  5. Step 5: Solve for x
    x = 980,024,761,444/453,536
  6. Step 6: Final answer
    x = 2,160,853.30

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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.