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Finding the Third Proportional to 448,905.19 and 969,029.63

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Solution

The third proportional to 448,905.19 and 969,029.63 is: 2,091,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,905.19 : 969,029.63 = 969,029.63 : x
  2. Step 2: Convert to fraction form
    448,905.19/969,029.63 = 969,029.63/x
  3. Step 3: Cross multiply
    448,905.19x = 969,029.63 × 969,029.63
  4. Step 4: Simplify right side
    448,905.19x = 939,018,414,127.64
  5. Step 5: Solve for x
    x = 939,018,414,127.64/448,905.19
  6. Step 6: Final answer
    x = 2,091,796.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.