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Finding the Third Proportional to 469,886 and 756,586

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Solution

The third proportional to 469,886 and 756,586 is: 1,218,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,886 : 756,586 = 756,586 : x
  2. Step 2: Convert to fraction form
    469,886/756,586 = 756,586/x
  3. Step 3: Cross multiply
    469,886x = 756,586 × 756,586
  4. Step 4: Simplify right side
    469,886x = 572,422,375,396
  5. Step 5: Solve for x
    x = 572,422,375,396/469,886
  6. Step 6: Final answer
    x = 1,218,215.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.