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Finding the Third Proportional to 393,485,242 and 841,451,490

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Solution

The third proportional to 393,485,242 and 841,451,490 is: 1,799,408,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,485,242 : 841,451,490 = 841,451,490 : x
  2. Step 2: Convert to fraction form
    393,485,242/841,451,490 = 841,451,490/x
  3. Step 3: Cross multiply
    393,485,242x = 841,451,490 × 841,451,490
  4. Step 4: Simplify right side
    393,485,242x = 708,040,610,023,220,096
  5. Step 5: Solve for x
    x = 708,040,610,023,220,096/393,485,242
  6. Step 6: Final answer
    x = 1,799,408,299.09

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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.