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Finding the Third Proportional to 448,845 and 973,984.50

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Solution

The third proportional to 448,845 and 973,984.50 is: 2,113,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,845 : 973,984.50 = 973,984.50 : x
  2. Step 2: Convert to fraction form
    448,845/973,984.50 = 973,984.50/x
  3. Step 3: Cross multiply
    448,845x = 973,984.50 × 973,984.50
  4. Step 4: Simplify right side
    448,845x = 948,645,806,240.25
  5. Step 5: Solve for x
    x = 948,645,806,240.25/448,845
  6. Step 6: Final answer
    x = 2,113,526.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.