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Finding the Third Proportional to 505,784 and 1,167,908

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Solution

The third proportional to 505,784 and 1,167,908 is: 2,696,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,784 : 1,167,908 = 1,167,908 : x
  2. Step 2: Convert to fraction form
    505,784/1,167,908 = 1,167,908/x
  3. Step 3: Cross multiply
    505,784x = 1,167,908 × 1,167,908
  4. Step 4: Simplify right side
    505,784x = 1,364,009,096,464
  5. Step 5: Solve for x
    x = 1,364,009,096,464/505,784
  6. Step 6: Final answer
    x = 2,696,821.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.