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Finding the Third Proportional to 817,149,671 and 1,146,622,751

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Solution

The third proportional to 817,149,671 and 1,146,622,751 is: 1,608,938,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,149,671 : 1,146,622,751 = 1,146,622,751 : x
  2. Step 2: Convert to fraction form
    817,149,671/1,146,622,751 = 1,146,622,751/x
  3. Step 3: Cross multiply
    817,149,671x = 1,146,622,751 × 1,146,622,751
  4. Step 4: Simplify right side
    817,149,671x = 1,314,743,733,110,808,064
  5. Step 5: Solve for x
    x = 1,314,743,733,110,808,064/817,149,671
  6. Step 6: Final answer
    x = 1,608,938,704.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.