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Finding the Third Proportional to 619,056 and 1,312,608

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Solution

The third proportional to 619,056 and 1,312,608 is: 2,783,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,056 : 1,312,608 = 1,312,608 : x
  2. Step 2: Convert to fraction form
    619,056/1,312,608 = 1,312,608/x
  3. Step 3: Cross multiply
    619,056x = 1,312,608 × 1,312,608
  4. Step 4: Simplify right side
    619,056x = 1,722,939,761,664
  5. Step 5: Solve for x
    x = 1,722,939,761,664/619,056
  6. Step 6: Final answer
    x = 2,783,172.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.