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Finding the Third Proportional to 828,478.13 and 1,815,058.13

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Solution

The third proportional to 828,478.13 and 1,815,058.13 is: 3,976,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,478.13 : 1,815,058.13 = 1,815,058.13 : x
  2. Step 2: Convert to fraction form
    828,478.13/1,815,058.13 = 1,815,058.13/x
  3. Step 3: Cross multiply
    828,478.13x = 1,815,058.13 × 1,815,058.13
  4. Step 4: Simplify right side
    828,478.13x = 3,294,435,997,128.52
  5. Step 5: Solve for x
    x = 3,294,435,997,128.52/828,478.13
  6. Step 6: Final answer
    x = 3,976,491.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.