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Finding the Third Proportional to 869,740.88 and 1,762,851.38

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Solution

The third proportional to 869,740.88 and 1,762,851.38 is: 3,573,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,740.88 : 1,762,851.38 = 1,762,851.38 : x
  2. Step 2: Convert to fraction form
    869,740.88/1,762,851.38 = 1,762,851.38/x
  3. Step 3: Cross multiply
    869,740.88x = 1,762,851.38 × 1,762,851.38
  4. Step 4: Simplify right side
    869,740.88x = 3,107,644,970,339.39
  5. Step 5: Solve for x
    x = 3,107,644,970,339.39/869,740.88
  6. Step 6: Final answer
    x = 3,573,069.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.