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Finding the Third Proportional to 492,922,908 and 704,835,270

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Solution

The third proportional to 492,922,908 and 704,835,270 is: 1,007,850,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,922,908 : 704,835,270 = 704,835,270 : x
  2. Step 2: Convert to fraction form
    492,922,908/704,835,270 = 704,835,270/x
  3. Step 3: Cross multiply
    492,922,908x = 704,835,270 × 704,835,270
  4. Step 4: Simplify right side
    492,922,908x = 496,792,757,835,972,928
  5. Step 5: Solve for x
    x = 496,792,757,835,972,928/492,922,908
  6. Step 6: Final answer
    x = 1,007,850,821.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.