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Finding the Third Proportional to 453,626 and 976,586

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Solution

The third proportional to 453,626 and 976,586 is: 2,102,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,626 : 976,586 = 976,586 : x
  2. Step 2: Convert to fraction form
    453,626/976,586 = 976,586/x
  3. Step 3: Cross multiply
    453,626x = 976,586 × 976,586
  4. Step 4: Simplify right side
    453,626x = 953,720,215,396
  5. Step 5: Solve for x
    x = 953,720,215,396/453,626
  6. Step 6: Final answer
    x = 2,102,437.28

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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.