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Finding the Third Proportional to 483,432 and 1,036,824

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Solution

The third proportional to 483,432 and 1,036,824 is: 2,223,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,432 : 1,036,824 = 1,036,824 : x
  2. Step 2: Convert to fraction form
    483,432/1,036,824 = 1,036,824/x
  3. Step 3: Cross multiply
    483,432x = 1,036,824 × 1,036,824
  4. Step 4: Simplify right side
    483,432x = 1,075,004,006,976
  5. Step 5: Solve for x
    x = 1,075,004,006,976/483,432
  6. Step 6: Final answer
    x = 2,223,692.28

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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.