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Finding the Third Proportional to 511,748,722 and 786,102,138

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Solution

The third proportional to 511,748,722 and 786,102,138 is: 1,207,539,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,748,722 : 786,102,138 = 786,102,138 : x
  2. Step 2: Convert to fraction form
    511,748,722/786,102,138 = 786,102,138/x
  3. Step 3: Cross multiply
    511,748,722x = 786,102,138 × 786,102,138
  4. Step 4: Simplify right side
    511,748,722x = 617,956,571,368,171,008
  5. Step 5: Solve for x
    x = 617,956,571,368,171,008/511,748,722
  6. Step 6: Final answer
    x = 1,207,539,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.