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Finding the Third Proportional to 917,407.50 and 1,417,016.25

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Solution

The third proportional to 917,407.50 and 1,417,016.25 is: 2,188,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,407.50 : 1,417,016.25 = 1,417,016.25 : x
  2. Step 2: Convert to fraction form
    917,407.50/1,417,016.25 = 1,417,016.25/x
  3. Step 3: Cross multiply
    917,407.50x = 1,417,016.25 × 1,417,016.25
  4. Step 4: Simplify right side
    917,407.50x = 2,007,935,052,764.06
  5. Step 5: Solve for x
    x = 2,007,935,052,764.06/917,407.50
  6. Step 6: Final answer
    x = 2,188,705.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.