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Finding the Third Proportional to 822,447.94 and 1,834,000.13

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Solution

The third proportional to 822,447.94 and 1,834,000.13 is: 4,089,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,447.94 : 1,834,000.13 = 1,834,000.13 : x
  2. Step 2: Convert to fraction form
    822,447.94/1,834,000.13 = 1,834,000.13/x
  3. Step 3: Cross multiply
    822,447.94x = 1,834,000.13 × 1,834,000.13
  4. Step 4: Simplify right side
    822,447.94x = 3,363,556,458,500.02
  5. Step 5: Solve for x
    x = 3,363,556,458,500.02/822,447.94
  6. Step 6: Final answer
    x = 4,089,689.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.