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Finding the Third Proportional to 769,248 and 1,683,270

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Solution

The third proportional to 769,248 and 1,683,270 is: 3,683,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,248 : 1,683,270 = 1,683,270 : x
  2. Step 2: Convert to fraction form
    769,248/1,683,270 = 1,683,270/x
  3. Step 3: Cross multiply
    769,248x = 1,683,270 × 1,683,270
  4. Step 4: Simplify right side
    769,248x = 2,833,397,892,900
  5. Step 5: Solve for x
    x = 2,833,397,892,900/769,248
  6. Step 6: Final answer
    x = 3,683,334.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.