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Finding the Third Proportional to 505,904 and 1,083,534

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Solution

The third proportional to 505,904 and 1,083,534 is: 2,320,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,904 : 1,083,534 = 1,083,534 : x
  2. Step 2: Convert to fraction form
    505,904/1,083,534 = 1,083,534/x
  3. Step 3: Cross multiply
    505,904x = 1,083,534 × 1,083,534
  4. Step 4: Simplify right side
    505,904x = 1,174,045,929,156
  5. Step 5: Solve for x
    x = 1,174,045,929,156/505,904
  6. Step 6: Final answer
    x = 2,320,689.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.