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Finding the Third Proportional to 1,274,767.50 and 2,738,988

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Solution

The third proportional to 1,274,767.50 and 2,738,988 is: 5,885,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,767.50 : 2,738,988 = 2,738,988 : x
  2. Step 2: Convert to fraction form
    1,274,767.50/2,738,988 = 2,738,988/x
  3. Step 3: Cross multiply
    1,274,767.50x = 2,738,988 × 2,738,988
  4. Step 4: Simplify right side
    1,274,767.50x = 7,502,055,264,144
  5. Step 5: Solve for x
    x = 7,502,055,264,144/1,274,767.50
  6. Step 6: Final answer
    x = 5,885,038.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.