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Finding the Third Proportional to 546,521,296 and 1,190,079,602

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Solution

The third proportional to 546,521,296 and 1,190,079,602 is: 2,591,462,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,521,296 : 1,190,079,602 = 1,190,079,602 : x
  2. Step 2: Convert to fraction form
    546,521,296/1,190,079,602 = 1,190,079,602/x
  3. Step 3: Cross multiply
    546,521,296x = 1,190,079,602 × 1,190,079,602
  4. Step 4: Simplify right side
    546,521,296x = 1,416,289,459,096,478,464
  5. Step 5: Solve for x
    x = 1,416,289,459,096,478,464/546,521,296
  6. Step 6: Final answer
    x = 2,591,462,527.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.