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Finding the Third Proportional to 578,980 and 1,256,988

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Solution

The third proportional to 578,980 and 1,256,988 is: 2,728,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,980 : 1,256,988 = 1,256,988 : x
  2. Step 2: Convert to fraction form
    578,980/1,256,988 = 1,256,988/x
  3. Step 3: Cross multiply
    578,980x = 1,256,988 × 1,256,988
  4. Step 4: Simplify right side
    578,980x = 1,580,018,832,144
  5. Step 5: Solve for x
    x = 1,580,018,832,144/578,980
  6. Step 6: Final answer
    x = 2,728,969.62

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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.