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Finding the Third Proportional to 507,968 and 1,103,504

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Solution

The third proportional to 507,968 and 1,103,504 is: 2,397,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,968 : 1,103,504 = 1,103,504 : x
  2. Step 2: Convert to fraction form
    507,968/1,103,504 = 1,103,504/x
  3. Step 3: Cross multiply
    507,968x = 1,103,504 × 1,103,504
  4. Step 4: Simplify right side
    507,968x = 1,217,721,078,016
  5. Step 5: Solve for x
    x = 1,217,721,078,016/507,968
  6. Step 6: Final answer
    x = 2,397,239.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.