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Finding the Third Proportional to 2,897,993.50 and 4,258,378

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Solution

The third proportional to 2,897,993.50 and 4,258,378 is: 6,257,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,993.50 : 4,258,378 = 4,258,378 : x
  2. Step 2: Convert to fraction form
    2,897,993.50/4,258,378 = 4,258,378/x
  3. Step 3: Cross multiply
    2,897,993.50x = 4,258,378 × 4,258,378
  4. Step 4: Simplify right side
    2,897,993.50x = 18,133,783,190,884
  5. Step 5: Solve for x
    x = 18,133,783,190,884/2,897,993.50
  6. Step 6: Final answer
    x = 6,257,358.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.