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Finding the Third Proportional to 490,584 and 1,058,586

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Solution

The third proportional to 490,584 and 1,058,586 is: 2,284,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,584 : 1,058,586 = 1,058,586 : x
  2. Step 2: Convert to fraction form
    490,584/1,058,586 = 1,058,586/x
  3. Step 3: Cross multiply
    490,584x = 1,058,586 × 1,058,586
  4. Step 4: Simplify right side
    490,584x = 1,120,604,319,396
  5. Step 5: Solve for x
    x = 1,120,604,319,396/490,584
  6. Step 6: Final answer
    x = 2,284,225.17

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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.