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Finding the Third Proportional to 507,982 and 1,085,944

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Solution

The third proportional to 507,982 and 1,085,944 is: 2,321,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,982 : 1,085,944 = 1,085,944 : x
  2. Step 2: Convert to fraction form
    507,982/1,085,944 = 1,085,944/x
  3. Step 3: Cross multiply
    507,982x = 1,085,944 × 1,085,944
  4. Step 4: Simplify right side
    507,982x = 1,179,274,371,136
  5. Step 5: Solve for x
    x = 1,179,274,371,136/507,982
  6. Step 6: Final answer
    x = 2,321,488.50

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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.