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Finding the Third Proportional to 1,706,471.25 and 3,666,208.31

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Solution

The third proportional to 1,706,471.25 and 3,666,208.31 is: 7,876,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,471.25 : 3,666,208.31 = 3,666,208.31 : x
  2. Step 2: Convert to fraction form
    1,706,471.25/3,666,208.31 = 3,666,208.31/x
  3. Step 3: Cross multiply
    1,706,471.25x = 3,666,208.31 × 3,666,208.31
  4. Step 4: Simplify right side
    1,706,471.25x = 13,441,083,390,644.10
  5. Step 5: Solve for x
    x = 13,441,083,390,644.10/1,706,471.25
  6. Step 6: Final answer
    x = 7,876,536.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.