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Finding the Third Proportional to 802,756 and 1,100,798

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Solution

The third proportional to 802,756 and 1,100,798 is: 1,509,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,756 : 1,100,798 = 1,100,798 : x
  2. Step 2: Convert to fraction form
    802,756/1,100,798 = 1,100,798/x
  3. Step 3: Cross multiply
    802,756x = 1,100,798 × 1,100,798
  4. Step 4: Simplify right side
    802,756x = 1,211,756,236,804
  5. Step 5: Solve for x
    x = 1,211,756,236,804/802,756
  6. Step 6: Final answer
    x = 1,509,495.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.