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Finding the Third Proportional to 505,905 and 1,083,535

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Solution

The third proportional to 505,905 and 1,083,535 is: 2,320,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,905 : 1,083,535 = 1,083,535 : x
  2. Step 2: Convert to fraction form
    505,905/1,083,535 = 1,083,535/x
  3. Step 3: Cross multiply
    505,905x = 1,083,535 × 1,083,535
  4. Step 4: Simplify right side
    505,905x = 1,174,048,096,225
  5. Step 5: Solve for x
    x = 1,174,048,096,225/505,905
  6. Step 6: Final answer
    x = 2,320,688.86

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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.