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Finding the Third Proportional to 474,838 and 967,258

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Solution

The third proportional to 474,838 and 967,258 is: 1,970,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,838 : 967,258 = 967,258 : x
  2. Step 2: Convert to fraction form
    474,838/967,258 = 967,258/x
  3. Step 3: Cross multiply
    474,838x = 967,258 × 967,258
  4. Step 4: Simplify right side
    474,838x = 935,588,038,564
  5. Step 5: Solve for x
    x = 935,588,038,564/474,838
  6. Step 6: Final answer
    x = 1,970,331.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.