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Finding the Third Proportional to 612,056 and 918,084

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Solution

The third proportional to 612,056 and 918,084 is: 1,377,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,056 : 918,084 = 918,084 : x
  2. Step 2: Convert to fraction form
    612,056/918,084 = 918,084/x
  3. Step 3: Cross multiply
    612,056x = 918,084 × 918,084
  4. Step 4: Simplify right side
    612,056x = 842,878,231,056
  5. Step 5: Solve for x
    x = 842,878,231,056/612,056
  6. Step 6: Final answer
    x = 1,377,126

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.