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Finding the Third Proportional to 996,384 and 1,547,067

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Solution

The third proportional to 996,384 and 1,547,067 is: 2,402,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,384 : 1,547,067 = 1,547,067 : x
  2. Step 2: Convert to fraction form
    996,384/1,547,067 = 1,547,067/x
  3. Step 3: Cross multiply
    996,384x = 1,547,067 × 1,547,067
  4. Step 4: Simplify right side
    996,384x = 2,393,416,302,489
  5. Step 5: Solve for x
    x = 2,393,416,302,489/996,384
  6. Step 6: Final answer
    x = 2,402,102.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.