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Finding the Third Proportional to 448,914 and 969,046

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Solution

The third proportional to 448,914 and 969,046 is: 2,091,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,914 : 969,046 = 969,046 : x
  2. Step 2: Convert to fraction form
    448,914/969,046 = 969,046/x
  3. Step 3: Cross multiply
    448,914x = 969,046 × 969,046
  4. Step 4: Simplify right side
    448,914x = 939,050,150,116
  5. Step 5: Solve for x
    x = 939,050,150,116/448,914
  6. Step 6: Final answer
    x = 2,091,826.39

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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.