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Finding the Third Proportional to 522,738 and 1,133,988

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Solution

The third proportional to 522,738 and 1,133,988 is: 2,459,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,738 : 1,133,988 = 1,133,988 : x
  2. Step 2: Convert to fraction form
    522,738/1,133,988 = 1,133,988/x
  3. Step 3: Cross multiply
    522,738x = 1,133,988 × 1,133,988
  4. Step 4: Simplify right side
    522,738x = 1,285,928,784,144
  5. Step 5: Solve for x
    x = 1,285,928,784,144/522,738
  6. Step 6: Final answer
    x = 2,459,987.19

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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.