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Finding the Third Proportional to 970,888 and 2,064,247

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Solution

The third proportional to 970,888 and 2,064,247 is: 4,388,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,888 : 2,064,247 = 2,064,247 : x
  2. Step 2: Convert to fraction form
    970,888/2,064,247 = 2,064,247/x
  3. Step 3: Cross multiply
    970,888x = 2,064,247 × 2,064,247
  4. Step 4: Simplify right side
    970,888x = 4,261,115,677,009
  5. Step 5: Solve for x
    x = 4,261,115,677,009/970,888
  6. Step 6: Final answer
    x = 4,388,884.89

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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.