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Finding the Third Proportional to 523,985,446 and 786,361,786

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Solution

The third proportional to 523,985,446 and 786,361,786 is: 1,180,118,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,985,446 : 786,361,786 = 786,361,786 : x
  2. Step 2: Convert to fraction form
    523,985,446/786,361,786 = 786,361,786/x
  3. Step 3: Cross multiply
    523,985,446x = 786,361,786 × 786,361,786
  4. Step 4: Simplify right side
    523,985,446x = 618,364,858,481,109,760
  5. Step 5: Solve for x
    x = 618,364,858,481,109,760/523,985,446
  6. Step 6: Final answer
    x = 1,180,118,385.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.