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Finding the Third Proportional to 524,531,586 and 769,791,203

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Solution

The third proportional to 524,531,586 and 769,791,203 is: 1,129,728,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,531,586 : 769,791,203 = 769,791,203 : x
  2. Step 2: Convert to fraction form
    524,531,586/769,791,203 = 769,791,203/x
  3. Step 3: Cross multiply
    524,531,586x = 769,791,203 × 769,791,203
  4. Step 4: Simplify right side
    524,531,586x = 592,578,496,216,187,264
  5. Step 5: Solve for x
    x = 592,578,496,216,187,264/524,531,586
  6. Step 6: Final answer
    x = 1,129,728,908.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.