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Finding the Third Proportional to 822,968.44 and 1,174,576.78

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Solution

The third proportional to 822,968.44 and 1,174,576.78 is: 1,676,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,968.44 : 1,174,576.78 = 1,174,576.78 : x
  2. Step 2: Convert to fraction form
    822,968.44/1,174,576.78 = 1,174,576.78/x
  3. Step 3: Cross multiply
    822,968.44x = 1,174,576.78 × 1,174,576.78
  4. Step 4: Simplify right side
    822,968.44x = 1,379,630,615,051.61
  5. Step 5: Solve for x
    x = 1,379,630,615,051.61/822,968.44
  6. Step 6: Final answer
    x = 1,676,407.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.