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Finding the Third Proportional to 453,614 and 976,562

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Solution

The third proportional to 453,614 and 976,562 is: 2,102,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,614 : 976,562 = 976,562 : x
  2. Step 2: Convert to fraction form
    453,614/976,562 = 976,562/x
  3. Step 3: Cross multiply
    453,614x = 976,562 × 976,562
  4. Step 4: Simplify right side
    453,614x = 953,673,339,844
  5. Step 5: Solve for x
    x = 953,673,339,844/453,614
  6. Step 6: Final answer
    x = 2,102,389.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.