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Finding the Third Proportional to 458,509,185 and 1,007,093,487

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Solution

The third proportional to 458,509,185 and 1,007,093,487 is: 2,212,032,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509,185 : 1,007,093,487 = 1,007,093,487 : x
  2. Step 2: Convert to fraction form
    458,509,185/1,007,093,487 = 1,007,093,487/x
  3. Step 3: Cross multiply
    458,509,185x = 1,007,093,487 × 1,007,093,487
  4. Step 4: Simplify right side
    458,509,185x = 1,014,237,291,557,819,136
  5. Step 5: Solve for x
    x = 1,014,237,291,557,819,136/458,509,185
  6. Step 6: Final answer
    x = 2,212,032,658.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.