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Finding the Third Proportional to 509,732 and 1,108,072

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Solution

The third proportional to 509,732 and 1,108,072 is: 2,408,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,732 : 1,108,072 = 1,108,072 : x
  2. Step 2: Convert to fraction form
    509,732/1,108,072 = 1,108,072/x
  3. Step 3: Cross multiply
    509,732x = 1,108,072 × 1,108,072
  4. Step 4: Simplify right side
    509,732x = 1,227,823,557,184
  5. Step 5: Solve for x
    x = 1,227,823,557,184/509,732
  6. Step 6: Final answer
    x = 2,408,762.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.