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Finding the Third Proportional to 482,284 and 1,030,996

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Solution

The third proportional to 482,284 and 1,030,996 is: 2,203,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,284 : 1,030,996 = 1,030,996 : x
  2. Step 2: Convert to fraction form
    482,284/1,030,996 = 1,030,996/x
  3. Step 3: Cross multiply
    482,284x = 1,030,996 × 1,030,996
  4. Step 4: Simplify right side
    482,284x = 1,062,952,752,016
  5. Step 5: Solve for x
    x = 1,062,952,752,016/482,284
  6. Step 6: Final answer
    x = 2,203,997.55

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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.