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Finding the Third Proportional to 569,648 and 1,229,364

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Solution

The third proportional to 569,648 and 1,229,364 is: 2,653,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,648 : 1,229,364 = 1,229,364 : x
  2. Step 2: Convert to fraction form
    569,648/1,229,364 = 1,229,364/x
  3. Step 3: Cross multiply
    569,648x = 1,229,364 × 1,229,364
  4. Step 4: Simplify right side
    569,648x = 1,511,335,844,496
  5. Step 5: Solve for x
    x = 1,511,335,844,496/569,648
  6. Step 6: Final answer
    x = 2,653,104.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.