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Finding the Third Proportional to 453,624 and 976,584

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Solution

The third proportional to 453,624 and 976,584 is: 2,102,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,624 : 976,584 = 976,584 : x
  2. Step 2: Convert to fraction form
    453,624/976,584 = 976,584/x
  3. Step 3: Cross multiply
    453,624x = 976,584 × 976,584
  4. Step 4: Simplify right side
    453,624x = 953,716,309,056
  5. Step 5: Solve for x
    x = 953,716,309,056/453,624
  6. Step 6: Final answer
    x = 2,102,437.94

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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.