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Finding the Third Proportional to 970,907 and 2,064,286

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Solution

The third proportional to 970,907 and 2,064,286 is: 4,388,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,907 : 2,064,286 = 2,064,286 : x
  2. Step 2: Convert to fraction form
    970,907/2,064,286 = 2,064,286/x
  3. Step 3: Cross multiply
    970,907x = 2,064,286 × 2,064,286
  4. Step 4: Simplify right side
    970,907x = 4,261,276,689,796
  5. Step 5: Solve for x
    x = 4,261,276,689,796/970,907
  6. Step 6: Final answer
    x = 4,388,964.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.