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Finding the Third Proportional to 453,933 and 983,014

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Solution

The third proportional to 453,933 and 983,014 is: 2,128,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,933 : 983,014 = 983,014 : x
  2. Step 2: Convert to fraction form
    453,933/983,014 = 983,014/x
  3. Step 3: Cross multiply
    453,933x = 983,014 × 983,014
  4. Step 4: Simplify right side
    453,933x = 966,316,524,196
  5. Step 5: Solve for x
    x = 966,316,524,196/453,933
  6. Step 6: Final answer
    x = 2,128,764.65

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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.