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Finding the Third Proportional to 1,028,915.16 and 2,261,460.52

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Solution

The third proportional to 1,028,915.16 and 2,261,460.52 is: 4,970,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,915.16 : 2,261,460.52 = 2,261,460.52 : x
  2. Step 2: Convert to fraction form
    1,028,915.16/2,261,460.52 = 2,261,460.52/x
  3. Step 3: Cross multiply
    1,028,915.16x = 2,261,460.52 × 2,261,460.52
  4. Step 4: Simplify right side
    1,028,915.16x = 5,114,203,663,730.89
  5. Step 5: Solve for x
    x = 5,114,203,663,730.89/1,028,915.16
  6. Step 6: Final answer
    x = 4,970,481.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.