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Finding the Third Proportional to 507,692 and 1,085,350

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Solution

The third proportional to 507,692 and 1,085,350 is: 2,320,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,692 : 1,085,350 = 1,085,350 : x
  2. Step 2: Convert to fraction form
    507,692/1,085,350 = 1,085,350/x
  3. Step 3: Cross multiply
    507,692x = 1,085,350 × 1,085,350
  4. Step 4: Simplify right side
    507,692x = 1,177,984,622,500
  5. Step 5: Solve for x
    x = 1,177,984,622,500/507,692
  6. Step 6: Final answer
    x = 2,320,274.15

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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.