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Finding the Third Proportional to 932,032 and 1,996,852

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Solution

The third proportional to 932,032 and 1,996,852 is: 4,278,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,032 : 1,996,852 = 1,996,852 : x
  2. Step 2: Convert to fraction form
    932,032/1,996,852 = 1,996,852/x
  3. Step 3: Cross multiply
    932,032x = 1,996,852 × 1,996,852
  4. Step 4: Simplify right side
    932,032x = 3,987,417,909,904
  5. Step 5: Solve for x
    x = 3,987,417,909,904/932,032
  6. Step 6: Final answer
    x = 4,278,198.51

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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.