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Finding the Third Proportional to 448,912 and 969,043

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Solution

The third proportional to 448,912 and 969,043 is: 2,091,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,912 : 969,043 = 969,043 : x
  2. Step 2: Convert to fraction form
    448,912/969,043 = 969,043/x
  3. Step 3: Cross multiply
    448,912x = 969,043 × 969,043
  4. Step 4: Simplify right side
    448,912x = 939,044,335,849
  5. Step 5: Solve for x
    x = 939,044,335,849/448,912
  6. Step 6: Final answer
    x = 2,091,822.75

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Why These Related Problems?

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