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Finding the Third Proportional to 509,871 and 1,099,566

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Solution

The third proportional to 509,871 and 1,099,566 is: 2,371,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,871 : 1,099,566 = 1,099,566 : x
  2. Step 2: Convert to fraction form
    509,871/1,099,566 = 1,099,566/x
  3. Step 3: Cross multiply
    509,871x = 1,099,566 × 1,099,566
  4. Step 4: Simplify right side
    509,871x = 1,209,045,388,356
  5. Step 5: Solve for x
    x = 1,209,045,388,356/509,871
  6. Step 6: Final answer
    x = 2,371,277.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.