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Finding the Third Proportional to 391,147,759 and 828,929,465

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Solution

The third proportional to 391,147,759 and 828,929,465 is: 1,756,686,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,759 : 828,929,465 = 828,929,465 : x
  2. Step 2: Convert to fraction form
    391,147,759/828,929,465 = 828,929,465/x
  3. Step 3: Cross multiply
    391,147,759x = 828,929,465 × 828,929,465
  4. Step 4: Simplify right side
    391,147,759x = 687,124,057,945,186,176
  5. Step 5: Solve for x
    x = 687,124,057,945,186,176/391,147,759
  6. Step 6: Final answer
    x = 1,756,686,679.48

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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.