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Finding the Third Proportional to 379,197,834 and 812,143,308

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Solution

The third proportional to 379,197,834 and 812,143,308 is: 1,739,400,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,197,834 : 812,143,308 = 812,143,308 : x
  2. Step 2: Convert to fraction form
    379,197,834/812,143,308 = 812,143,308/x
  3. Step 3: Cross multiply
    379,197,834x = 812,143,308 × 812,143,308
  4. Step 4: Simplify right side
    379,197,834x = 659,576,752,729,182,848
  5. Step 5: Solve for x
    x = 659,576,752,729,182,848/379,197,834
  6. Step 6: Final answer
    x = 1,739,400,106.20

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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.