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Finding the Third Proportional to 508,090 and 1,083,668

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Solution

The third proportional to 508,090 and 1,083,668 is: 2,311,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,090 : 1,083,668 = 1,083,668 : x
  2. Step 2: Convert to fraction form
    508,090/1,083,668 = 1,083,668/x
  3. Step 3: Cross multiply
    508,090x = 1,083,668 × 1,083,668
  4. Step 4: Simplify right side
    508,090x = 1,174,336,334,224
  5. Step 5: Solve for x
    x = 1,174,336,334,224/508,090
  6. Step 6: Final answer
    x = 2,311,276.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.