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Finding the Third Proportional to 942,768 and 2,036,142

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Solution

The third proportional to 942,768 and 2,036,142 is: 4,397,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,768 : 2,036,142 = 2,036,142 : x
  2. Step 2: Convert to fraction form
    942,768/2,036,142 = 2,036,142/x
  3. Step 3: Cross multiply
    942,768x = 2,036,142 × 2,036,142
  4. Step 4: Simplify right side
    942,768x = 4,145,874,244,164
  5. Step 5: Solve for x
    x = 4,145,874,244,164/942,768
  6. Step 6: Final answer
    x = 4,397,555.12

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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.