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Finding the Third Proportional to 677,875.50 and 1,445,823

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Solution

The third proportional to 677,875.50 and 1,445,823 is: 3,083,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,875.50 : 1,445,823 = 1,445,823 : x
  2. Step 2: Convert to fraction form
    677,875.50/1,445,823 = 1,445,823/x
  3. Step 3: Cross multiply
    677,875.50x = 1,445,823 × 1,445,823
  4. Step 4: Simplify right side
    677,875.50x = 2,090,404,147,329
  5. Step 5: Solve for x
    x = 2,090,404,147,329/677,875.50
  6. Step 6: Final answer
    x = 3,083,758.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.