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Finding the Third Proportional to 1,705,413 and 3,647,130

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Solution

The third proportional to 1,705,413 and 3,647,130 is: 7,799,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,413 : 3,647,130 = 3,647,130 : x
  2. Step 2: Convert to fraction form
    1,705,413/3,647,130 = 3,647,130/x
  3. Step 3: Cross multiply
    1,705,413x = 3,647,130 × 3,647,130
  4. Step 4: Simplify right side
    1,705,413x = 13,301,557,236,900
  5. Step 5: Solve for x
    x = 13,301,557,236,900/1,705,413
  6. Step 6: Final answer
    x = 7,799,610.56

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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.