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Finding the Third Proportional to 729,015.19 and 1,569,785.06

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Solution

The third proportional to 729,015.19 and 1,569,785.06 is: 3,380,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,015.19 : 1,569,785.06 = 1,569,785.06 : x
  2. Step 2: Convert to fraction form
    729,015.19/1,569,785.06 = 1,569,785.06/x
  3. Step 3: Cross multiply
    729,015.19x = 1,569,785.06 × 1,569,785.06
  4. Step 4: Simplify right side
    729,015.19x = 2,464,225,142,448.13
  5. Step 5: Solve for x
    x = 2,464,225,142,448.13/729,015.19
  6. Step 6: Final answer
    x = 3,380,210.98

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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.