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Finding the Third Proportional to 2,032,933 and 2,710,216

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Solution

The third proportional to 2,032,933 and 2,710,216 is: 3,613,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,933 : 2,710,216 = 2,710,216 : x
  2. Step 2: Convert to fraction form
    2,032,933/2,710,216 = 2,710,216/x
  3. Step 3: Cross multiply
    2,032,933x = 2,710,216 × 2,710,216
  4. Step 4: Simplify right side
    2,032,933x = 7,345,270,766,656
  5. Step 5: Solve for x
    x = 7,345,270,766,656/2,032,933
  6. Step 6: Final answer
    x = 3,613,139.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.