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Finding the Third Proportional to 1,292,020 and 1,983,216

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Solution

The third proportional to 1,292,020 and 1,983,216 is: 3,044,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,020 : 1,983,216 = 1,983,216 : x
  2. Step 2: Convert to fraction form
    1,292,020/1,983,216 = 1,983,216/x
  3. Step 3: Cross multiply
    1,292,020x = 1,983,216 × 1,983,216
  4. Step 4: Simplify right side
    1,292,020x = 3,933,145,702,656
  5. Step 5: Solve for x
    x = 3,933,145,702,656/1,292,020
  6. Step 6: Final answer
    x = 3,044,183.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.