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Finding the Third Proportional to 822,118.36 and 1,793,636.16

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Solution

The third proportional to 822,118.36 and 1,793,636.16 is: 3,913,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,118.36 : 1,793,636.16 = 1,793,636.16 : x
  2. Step 2: Convert to fraction form
    822,118.36/1,793,636.16 = 1,793,636.16/x
  3. Step 3: Cross multiply
    822,118.36x = 1,793,636.16 × 1,793,636.16
  4. Step 4: Simplify right side
    822,118.36x = 3,217,130,661,007.27
  5. Step 5: Solve for x
    x = 3,217,130,661,007.27/822,118.36
  6. Step 6: Final answer
    x = 3,913,220.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.