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Finding the Third Proportional to 481,209,874 and 1,031,483,082

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Solution

The third proportional to 481,209,874 and 1,031,483,082 is: 2,211,004,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,874 : 1,031,483,082 = 1,031,483,082 : x
  2. Step 2: Convert to fraction form
    481,209,874/1,031,483,082 = 1,031,483,082/x
  3. Step 3: Cross multiply
    481,209,874x = 1,031,483,082 × 1,031,483,082
  4. Step 4: Simplify right side
    481,209,874x = 1,063,957,348,452,218,752
  5. Step 5: Solve for x
    x = 1,063,957,348,452,218,752/481,209,874
  6. Step 6: Final answer
    x = 2,211,004,815.03

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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.