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Finding the Third Proportional to 449,708 and 957,678

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Solution

The third proportional to 449,708 and 957,678 is: 2,039,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,708 : 957,678 = 957,678 : x
  2. Step 2: Convert to fraction form
    449,708/957,678 = 957,678/x
  3. Step 3: Cross multiply
    449,708x = 957,678 × 957,678
  4. Step 4: Simplify right side
    449,708x = 917,147,151,684
  5. Step 5: Solve for x
    x = 917,147,151,684/449,708
  6. Step 6: Final answer
    x = 2,039,428.14

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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.