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Finding the Third Proportional to 453,534 and 989,958

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Solution

The third proportional to 453,534 and 989,958 is: 2,160,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,534 : 989,958 = 989,958 : x
  2. Step 2: Convert to fraction form
    453,534/989,958 = 989,958/x
  3. Step 3: Cross multiply
    453,534x = 989,958 × 989,958
  4. Step 4: Simplify right side
    453,534x = 980,016,841,764
  5. Step 5: Solve for x
    x = 980,016,841,764/453,534
  6. Step 6: Final answer
    x = 2,160,845.36

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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.