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Finding the Third Proportional to 391,147,754.50 and 828,929,457

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Solution

The third proportional to 391,147,754.50 and 828,929,457 is: 1,756,686,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,754.50 : 828,929,457 = 828,929,457 : x
  2. Step 2: Convert to fraction form
    391,147,754.50/828,929,457 = 828,929,457/x
  3. Step 3: Cross multiply
    391,147,754.50x = 828,929,457 × 828,929,457
  4. Step 4: Simplify right side
    391,147,754.50x = 687,124,044,682,314,880
  5. Step 5: Solve for x
    x = 687,124,044,682,314,880/391,147,754.50
  6. Step 6: Final answer
    x = 1,756,686,665.79

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Why These Related Problems?

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