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Finding the Third Proportional to 766,233 and 1,667,142

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Solution

The third proportional to 766,233 and 1,667,142 is: 3,627,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,233 : 1,667,142 = 1,667,142 : x
  2. Step 2: Convert to fraction form
    766,233/1,667,142 = 1,667,142/x
  3. Step 3: Cross multiply
    766,233x = 1,667,142 × 1,667,142
  4. Step 4: Simplify right side
    766,233x = 2,779,362,448,164
  5. Step 5: Solve for x
    x = 2,779,362,448,164/766,233
  6. Step 6: Final answer
    x = 3,627,307.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.