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Finding the Third Proportional to 490,090 and 1,061,630

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Solution

The third proportional to 490,090 and 1,061,630 is: 2,299,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,090 : 1,061,630 = 1,061,630 : x
  2. Step 2: Convert to fraction form
    490,090/1,061,630 = 1,061,630/x
  3. Step 3: Cross multiply
    490,090x = 1,061,630 × 1,061,630
  4. Step 4: Simplify right side
    490,090x = 1,127,058,256,900
  5. Step 5: Solve for x
    x = 1,127,058,256,900/490,090
  6. Step 6: Final answer
    x = 2,299,696.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.