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Finding the Third Proportional to 458,503,232 and 1,007,080,632

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Solution

The third proportional to 458,503,232 and 1,007,080,632 is: 2,212,004,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,503,232 : 1,007,080,632 = 1,007,080,632 : x
  2. Step 2: Convert to fraction form
    458,503,232/1,007,080,632 = 1,007,080,632/x
  3. Step 3: Cross multiply
    458,503,232x = 1,007,080,632 × 1,007,080,632
  4. Step 4: Simplify right side
    458,503,232x = 1,014,211,399,349,519,360
  5. Step 5: Solve for x
    x = 1,014,211,399,349,519,360/458,503,232
  6. Step 6: Final answer
    x = 2,212,004,907.63

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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.