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Finding the Third Proportional to 1,537,813.13 and 3,593,025.56

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Solution

The third proportional to 1,537,813.13 and 3,593,025.56 is: 8,394,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,813.13 : 3,593,025.56 = 3,593,025.56 : x
  2. Step 2: Convert to fraction form
    1,537,813.13/3,593,025.56 = 3,593,025.56/x
  3. Step 3: Cross multiply
    1,537,813.13x = 3,593,025.56 × 3,593,025.56
  4. Step 4: Simplify right side
    1,537,813.13x = 12,909,832,692,778.44
  5. Step 5: Solve for x
    x = 12,909,832,692,778.44/1,537,813.13
  6. Step 6: Final answer
    x = 8,394,929.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.