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Finding the Third Proportional to 1,254,022 and 1,921,514

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Solution

The third proportional to 1,254,022 and 1,921,514 is: 2,944,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,022 : 1,921,514 = 1,921,514 : x
  2. Step 2: Convert to fraction form
    1,254,022/1,921,514 = 1,921,514/x
  3. Step 3: Cross multiply
    1,254,022x = 1,921,514 × 1,921,514
  4. Step 4: Simplify right side
    1,254,022x = 3,692,216,052,196
  5. Step 5: Solve for x
    x = 3,692,216,052,196/1,254,022
  6. Step 6: Final answer
    x = 2,944,299.26

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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.