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Finding the Third Proportional to 711,735.19 and 1,535,577.75

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Solution

The third proportional to 711,735.19 and 1,535,577.75 is: 3,313,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,735.19 : 1,535,577.75 = 1,535,577.75 : x
  2. Step 2: Convert to fraction form
    711,735.19/1,535,577.75 = 1,535,577.75/x
  3. Step 3: Cross multiply
    711,735.19x = 1,535,577.75 × 1,535,577.75
  4. Step 4: Simplify right side
    711,735.19x = 2,357,999,026,295.06
  5. Step 5: Solve for x
    x = 2,357,999,026,295.06/711,735.19
  6. Step 6: Final answer
    x = 3,313,028.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.