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Finding the Third Proportional to 439,008 and 957,784

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Solution

The third proportional to 439,008 and 957,784 is: 2,089,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,008 : 957,784 = 957,784 : x
  2. Step 2: Convert to fraction form
    439,008/957,784 = 957,784/x
  3. Step 3: Cross multiply
    439,008x = 957,784 × 957,784
  4. Step 4: Simplify right side
    439,008x = 917,350,190,656
  5. Step 5: Solve for x
    x = 917,350,190,656/439,008
  6. Step 6: Final answer
    x = 2,089,597.89

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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.