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Finding the Third Proportional to 438,444 and 957,258

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Solution

The third proportional to 438,444 and 957,258 is: 2,089,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,444 : 957,258 = 957,258 : x
  2. Step 2: Convert to fraction form
    438,444/957,258 = 957,258/x
  3. Step 3: Cross multiply
    438,444x = 957,258 × 957,258
  4. Step 4: Simplify right side
    438,444x = 916,342,878,564
  5. Step 5: Solve for x
    x = 916,342,878,564/438,444
  6. Step 6: Final answer
    x = 2,089,988.41

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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.