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Finding the Third Proportional to 677,862 and 1,445,796

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Solution

The third proportional to 677,862 and 1,445,796 is: 3,083,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,862 : 1,445,796 = 1,445,796 : x
  2. Step 2: Convert to fraction form
    677,862/1,445,796 = 1,445,796/x
  3. Step 3: Cross multiply
    677,862x = 1,445,796 × 1,445,796
  4. Step 4: Simplify right side
    677,862x = 2,090,326,073,616
  5. Step 5: Solve for x
    x = 2,090,326,073,616/677,862
  6. Step 6: Final answer
    x = 3,083,704.46

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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.