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Finding the Third Proportional to 1,293,384 and 1,957,970

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Solution

The third proportional to 1,293,384 and 1,957,970 is: 2,964,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,384 : 1,957,970 = 1,957,970 : x
  2. Step 2: Convert to fraction form
    1,293,384/1,957,970 = 1,957,970/x
  3. Step 3: Cross multiply
    1,293,384x = 1,957,970 × 1,957,970
  4. Step 4: Simplify right side
    1,293,384x = 3,833,646,520,900
  5. Step 5: Solve for x
    x = 3,833,646,520,900/1,293,384
  6. Step 6: Final answer
    x = 2,964,043.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.