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Finding the Third Proportional to 2,065,294 and 2,974,605

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Solution

The third proportional to 2,065,294 and 2,974,605 is: 4,284,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,294 : 2,974,605 = 2,974,605 : x
  2. Step 2: Convert to fraction form
    2,065,294/2,974,605 = 2,974,605/x
  3. Step 3: Cross multiply
    2,065,294x = 2,974,605 × 2,974,605
  4. Step 4: Simplify right side
    2,065,294x = 8,848,274,906,025
  5. Step 5: Solve for x
    x = 8,848,274,906,025/2,065,294
  6. Step 6: Final answer
    x = 4,284,268.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.