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Finding the Third Proportional to 511,748,718 and 786,102,132

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Solution

The third proportional to 511,748,718 and 786,102,132 is: 1,207,539,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,748,718 : 786,102,132 = 786,102,132 : x
  2. Step 2: Convert to fraction form
    511,748,718/786,102,132 = 786,102,132/x
  3. Step 3: Cross multiply
    511,748,718x = 786,102,132 × 786,102,132
  4. Step 4: Simplify right side
    511,748,718x = 617,956,561,934,945,408
  5. Step 5: Solve for x
    x = 617,956,561,934,945,408/511,748,718
  6. Step 6: Final answer
    x = 1,207,539,052.27

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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.