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Finding the Third Proportional to 509,120 and 1,005,388

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Solution

The third proportional to 509,120 and 1,005,388 is: 1,985,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,120 : 1,005,388 = 1,005,388 : x
  2. Step 2: Convert to fraction form
    509,120/1,005,388 = 1,005,388/x
  3. Step 3: Cross multiply
    509,120x = 1,005,388 × 1,005,388
  4. Step 4: Simplify right side
    509,120x = 1,010,805,030,544
  5. Step 5: Solve for x
    x = 1,010,805,030,544/509,120
  6. Step 6: Final answer
    x = 1,985,396.43

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.