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Finding the Third Proportional to 598,768 and 1,290,848

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Solution

The third proportional to 598,768 and 1,290,848 is: 2,782,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,768 : 1,290,848 = 1,290,848 : x
  2. Step 2: Convert to fraction form
    598,768/1,290,848 = 1,290,848/x
  3. Step 3: Cross multiply
    598,768x = 1,290,848 × 1,290,848
  4. Step 4: Simplify right side
    598,768x = 1,666,288,559,104
  5. Step 5: Solve for x
    x = 1,666,288,559,104/598,768
  6. Step 6: Final answer
    x = 2,782,861.74

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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.