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Finding the Third Proportional to 284,817,930 and 584,734,908

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Solution

The third proportional to 284,817,930 and 584,734,908 is: 1,200,468,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,817,930 : 584,734,908 = 584,734,908 : x
  2. Step 2: Convert to fraction form
    284,817,930/584,734,908 = 584,734,908/x
  3. Step 3: Cross multiply
    284,817,930x = 584,734,908 × 584,734,908
  4. Step 4: Simplify right side
    284,817,930x = 341,914,912,633,768,448
  5. Step 5: Solve for x
    x = 341,914,912,633,768,448/284,817,930
  6. Step 6: Final answer
    x = 1,200,468,357.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.