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Finding the Third Proportional to 569,076 and 1,219,116

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Solution

The third proportional to 569,076 and 1,219,116 is: 2,611,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,076 : 1,219,116 = 1,219,116 : x
  2. Step 2: Convert to fraction form
    569,076/1,219,116 = 1,219,116/x
  3. Step 3: Cross multiply
    569,076x = 1,219,116 × 1,219,116
  4. Step 4: Simplify right side
    569,076x = 1,486,243,821,456
  5. Step 5: Solve for x
    x = 1,486,243,821,456/569,076
  6. Step 6: Final answer
    x = 2,611,678.97

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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.