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Finding the Third Proportional to 560,091,714 and 809,166,132

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Solution

The third proportional to 560,091,714 and 809,166,132 is: 1,169,004,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,091,714 : 809,166,132 = 809,166,132 : x
  2. Step 2: Convert to fraction form
    560,091,714/809,166,132 = 809,166,132/x
  3. Step 3: Cross multiply
    560,091,714x = 809,166,132 × 809,166,132
  4. Step 4: Simplify right side
    560,091,714x = 654,749,829,175,841,408
  5. Step 5: Solve for x
    x = 654,749,829,175,841,408/560,091,714
  6. Step 6: Final answer
    x = 1,169,004,669.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.