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Finding the Third Proportional to 2,133,460 and 4,665,436

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Solution

The third proportional to 2,133,460 and 4,665,436 is: 10,202,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,460 : 4,665,436 = 4,665,436 : x
  2. Step 2: Convert to fraction form
    2,133,460/4,665,436 = 4,665,436/x
  3. Step 3: Cross multiply
    2,133,460x = 4,665,436 × 4,665,436
  4. Step 4: Simplify right side
    2,133,460x = 21,766,293,070,096
  5. Step 5: Solve for x
    x = 21,766,293,070,096/2,133,460
  6. Step 6: Final answer
    x = 10,202,344.11

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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.