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Finding the Third Proportional to 448,907 and 969,034

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Solution

The third proportional to 448,907 and 969,034 is: 2,091,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,907 : 969,034 = 969,034 : x
  2. Step 2: Convert to fraction form
    448,907/969,034 = 969,034/x
  3. Step 3: Cross multiply
    448,907x = 969,034 × 969,034
  4. Step 4: Simplify right side
    448,907x = 939,026,893,156
  5. Step 5: Solve for x
    x = 939,026,893,156/448,907
  6. Step 6: Final answer
    x = 2,091,807.20

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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.