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Finding the Third Proportional to 1,306,884 and 2,830,965

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Solution

The third proportional to 1,306,884 and 2,830,965 is: 6,132,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,884 : 2,830,965 = 2,830,965 : x
  2. Step 2: Convert to fraction form
    1,306,884/2,830,965 = 2,830,965/x
  3. Step 3: Cross multiply
    1,306,884x = 2,830,965 × 2,830,965
  4. Step 4: Simplify right side
    1,306,884x = 8,014,362,831,225
  5. Step 5: Solve for x
    x = 8,014,362,831,225/1,306,884
  6. Step 6: Final answer
    x = 6,132,420.96

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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.