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Finding the Third Proportional to 456,762,720 and 651,131,848

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Solution

The third proportional to 456,762,720 and 651,131,848 is: 928,212,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,762,720 : 651,131,848 = 651,131,848 : x
  2. Step 2: Convert to fraction form
    456,762,720/651,131,848 = 651,131,848/x
  3. Step 3: Cross multiply
    456,762,720x = 651,131,848 × 651,131,848
  4. Step 4: Simplify right side
    456,762,720x = 423,972,683,479,895,104
  5. Step 5: Solve for x
    x = 423,972,683,479,895,104/456,762,720
  6. Step 6: Final answer
    x = 928,212,099.88

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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.