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Finding the Third Proportional to 828,770 and 1,169,804.50

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Solution

The third proportional to 828,770 and 1,169,804.50 is: 1,651,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,770 : 1,169,804.50 = 1,169,804.50 : x
  2. Step 2: Convert to fraction form
    828,770/1,169,804.50 = 1,169,804.50/x
  3. Step 3: Cross multiply
    828,770x = 1,169,804.50 × 1,169,804.50
  4. Step 4: Simplify right side
    828,770x = 1,368,442,568,220.25
  5. Step 5: Solve for x
    x = 1,368,442,568,220.25/828,770
  6. Step 6: Final answer
    x = 1,651,172.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.