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Finding the Third Proportional to 481,209,880 and 1,031,483,094

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Solution

The third proportional to 481,209,880 and 1,031,483,094 is: 2,211,004,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,880 : 1,031,483,094 = 1,031,483,094 : x
  2. Step 2: Convert to fraction form
    481,209,880/1,031,483,094 = 1,031,483,094/x
  3. Step 3: Cross multiply
    481,209,880x = 1,031,483,094 × 1,031,483,094
  4. Step 4: Simplify right side
    481,209,880x = 1,063,957,373,207,812,864
  5. Step 5: Solve for x
    x = 1,063,957,373,207,812,864/481,209,880
  6. Step 6: Final answer
    x = 2,211,004,838.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.