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Finding the Third Proportional to 505,929 and 1,077,402

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Solution

The third proportional to 505,929 and 1,077,402 is: 2,294,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,929 : 1,077,402 = 1,077,402 : x
  2. Step 2: Convert to fraction form
    505,929/1,077,402 = 1,077,402/x
  3. Step 3: Cross multiply
    505,929x = 1,077,402 × 1,077,402
  4. Step 4: Simplify right side
    505,929x = 1,160,795,069,604
  5. Step 5: Solve for x
    x = 1,160,795,069,604/505,929
  6. Step 6: Final answer
    x = 2,294,383.34

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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.