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Finding the Third Proportional to 457,253 and 1,005,004

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Solution

The third proportional to 457,253 and 1,005,004 is: 2,208,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,253 : 1,005,004 = 1,005,004 : x
  2. Step 2: Convert to fraction form
    457,253/1,005,004 = 1,005,004/x
  3. Step 3: Cross multiply
    457,253x = 1,005,004 × 1,005,004
  4. Step 4: Simplify right side
    457,253x = 1,010,033,040,016
  5. Step 5: Solve for x
    x = 1,010,033,040,016/457,253
  6. Step 6: Final answer
    x = 2,208,915.06

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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.