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Finding the Third Proportional to 1,009,514 and 2,159,104

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Solution

The third proportional to 1,009,514 and 2,159,104 is: 4,617,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,514 : 2,159,104 = 2,159,104 : x
  2. Step 2: Convert to fraction form
    1,009,514/2,159,104 = 2,159,104/x
  3. Step 3: Cross multiply
    1,009,514x = 2,159,104 × 2,159,104
  4. Step 4: Simplify right side
    1,009,514x = 4,661,730,082,816
  5. Step 5: Solve for x
    x = 4,661,730,082,816/1,009,514
  6. Step 6: Final answer
    x = 4,617,796.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.