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Finding the Third Proportional to 2,065,323 and 2,974,642.50

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Solution

The third proportional to 2,065,323 and 2,974,642.50 is: 4,284,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,323 : 2,974,642.50 = 2,974,642.50 : x
  2. Step 2: Convert to fraction form
    2,065,323/2,974,642.50 = 2,974,642.50/x
  3. Step 3: Cross multiply
    2,065,323x = 2,974,642.50 × 2,974,642.50
  4. Step 4: Simplify right side
    2,065,323x = 8,848,498,002,806.25
  5. Step 5: Solve for x
    x = 8,848,498,002,806.25/2,065,323
  6. Step 6: Final answer
    x = 4,284,316.79

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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.