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Finding the Third Proportional to 623,431.69 and 1,343,034.42

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Solution

The third proportional to 623,431.69 and 1,343,034.42 is: 2,893,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,431.69 : 1,343,034.42 = 1,343,034.42 : x
  2. Step 2: Convert to fraction form
    623,431.69/1,343,034.42 = 1,343,034.42/x
  3. Step 3: Cross multiply
    623,431.69x = 1,343,034.42 × 1,343,034.42
  4. Step 4: Simplify right side
    623,431.69x = 1,803,741,458,341.12
  5. Step 5: Solve for x
    x = 1,803,741,458,341.12/623,431.69
  6. Step 6: Final answer
    x = 2,893,246.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.