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Finding the Third Proportional to 456,762,728 and 651,131,860

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Solution

The third proportional to 456,762,728 and 651,131,860 is: 928,212,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,762,728 : 651,131,860 = 651,131,860 : x
  2. Step 2: Convert to fraction form
    456,762,728/651,131,860 = 651,131,860/x
  3. Step 3: Cross multiply
    456,762,728x = 651,131,860 × 651,131,860
  4. Step 4: Simplify right side
    456,762,728x = 423,972,699,107,059,584
  5. Step 5: Solve for x
    x = 423,972,699,107,059,584/456,762,728
  6. Step 6: Final answer
    x = 928,212,117.84

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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.