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Finding the Third Proportional to 391,147,754 and 828,929,456

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Solution

The third proportional to 391,147,754 and 828,929,456 is: 1,756,686,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,754 : 828,929,456 = 828,929,456 : x
  2. Step 2: Convert to fraction form
    391,147,754/828,929,456 = 828,929,456/x
  3. Step 3: Cross multiply
    391,147,754x = 828,929,456 × 828,929,456
  4. Step 4: Simplify right side
    391,147,754x = 687,124,043,024,455,936
  5. Step 5: Solve for x
    x = 687,124,043,024,455,936/391,147,754
  6. Step 6: Final answer
    x = 1,756,686,663.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.