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Finding the Third Proportional to 449,369 and 978,091

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Solution

The third proportional to 449,369 and 978,091 is: 2,128,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,369 : 978,091 = 978,091 : x
  2. Step 2: Convert to fraction form
    449,369/978,091 = 978,091/x
  3. Step 3: Cross multiply
    449,369x = 978,091 × 978,091
  4. Step 4: Simplify right side
    449,369x = 956,662,004,281
  5. Step 5: Solve for x
    x = 956,662,004,281/449,369
  6. Step 6: Final answer
    x = 2,128,900.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.