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Finding the Third Proportional to 853,708.78 and 1,828,453.92

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Solution

The third proportional to 853,708.78 and 1,828,453.92 is: 3,916,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,708.78 : 1,828,453.92 = 1,828,453.92 : x
  2. Step 2: Convert to fraction form
    853,708.78/1,828,453.92 = 1,828,453.92/x
  3. Step 3: Cross multiply
    853,708.78x = 1,828,453.92 × 1,828,453.92
  4. Step 4: Simplify right side
    853,708.78x = 3,343,243,744,420.07
  5. Step 5: Solve for x
    x = 3,343,243,744,420.07/853,708.78
  6. Step 6: Final answer
    x = 3,916,140.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.