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Finding the Third Proportional to 379,197,832 and 812,143,304

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Solution

The third proportional to 379,197,832 and 812,143,304 is: 1,739,400,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,197,832 : 812,143,304 = 812,143,304 : x
  2. Step 2: Convert to fraction form
    379,197,832/812,143,304 = 812,143,304/x
  3. Step 3: Cross multiply
    379,197,832x = 812,143,304 × 812,143,304
  4. Step 4: Simplify right side
    379,197,832x = 659,576,746,232,036,352
  5. Step 5: Solve for x
    x = 659,576,746,232,036,352/379,197,832
  6. Step 6: Final answer
    x = 1,739,400,098.24

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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.