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Finding the Third Proportional to 1,974,955.50 and 2,949,513.75

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Solution

The third proportional to 1,974,955.50 and 2,949,513.75 is: 4,404,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,955.50 : 2,949,513.75 = 2,949,513.75 : x
  2. Step 2: Convert to fraction form
    1,974,955.50/2,949,513.75 = 2,949,513.75/x
  3. Step 3: Cross multiply
    1,974,955.50x = 2,949,513.75 × 2,949,513.75
  4. Step 4: Simplify right side
    1,974,955.50x = 8,699,631,361,439.06
  5. Step 5: Solve for x
    x = 8,699,631,361,439.06/1,974,955.50
  6. Step 6: Final answer
    x = 4,404,975.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.