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Finding the Third Proportional to 452,890.13 and 976,713.75

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Solution

The third proportional to 452,890.13 and 976,713.75 is: 2,106,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,890.13 : 976,713.75 = 976,713.75 : x
  2. Step 2: Convert to fraction form
    452,890.13/976,713.75 = 976,713.75/x
  3. Step 3: Cross multiply
    452,890.13x = 976,713.75 × 976,713.75
  4. Step 4: Simplify right side
    452,890.13x = 953,969,749,439.06
  5. Step 5: Solve for x
    x = 953,969,749,439.06/452,890.13
  6. Step 6: Final answer
    x = 2,106,404.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.