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Finding the Third Proportional to 346,486,795 and 770,442,578

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Solution

The third proportional to 346,486,795 and 770,442,578 is: 1,713,143,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,486,795 : 770,442,578 = 770,442,578 : x
  2. Step 2: Convert to fraction form
    346,486,795/770,442,578 = 770,442,578/x
  3. Step 3: Cross multiply
    346,486,795x = 770,442,578 × 770,442,578
  4. Step 4: Simplify right side
    346,486,795x = 593,581,765,995,286,144
  5. Step 5: Solve for x
    x = 593,581,765,995,286,144/346,486,795
  6. Step 6: Final answer
    x = 1,713,143,977.09

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.