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Finding the Third Proportional to 2,974,536 and 4,205,196

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Solution

The third proportional to 2,974,536 and 4,205,196 is: 5,945,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974,536 : 4,205,196 = 4,205,196 : x
  2. Step 2: Convert to fraction form
    2,974,536/4,205,196 = 4,205,196/x
  3. Step 3: Cross multiply
    2,974,536x = 4,205,196 × 4,205,196
  4. Step 4: Simplify right side
    2,974,536x = 17,683,673,398,416
  5. Step 5: Solve for x
    x = 17,683,673,398,416/2,974,536
  6. Step 6: Final answer
    x = 5,945,019.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.