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Finding the Third Proportional to 509,116 and 1,119,928

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Solution

The third proportional to 509,116 and 1,119,928 is: 2,463,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,116 : 1,119,928 = 1,119,928 : x
  2. Step 2: Convert to fraction form
    509,116/1,119,928 = 1,119,928/x
  3. Step 3: Cross multiply
    509,116x = 1,119,928 × 1,119,928
  4. Step 4: Simplify right side
    509,116x = 1,254,238,725,184
  5. Step 5: Solve for x
    x = 1,254,238,725,184/509,116
  6. Step 6: Final answer
    x = 2,463,561.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.