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Finding the Third Proportional to 1,035,204.19 and 1,580,832

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Solution

The third proportional to 1,035,204.19 and 1,580,832 is: 2,414,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,204.19 : 1,580,832 = 1,580,832 : x
  2. Step 2: Convert to fraction form
    1,035,204.19/1,580,832 = 1,580,832/x
  3. Step 3: Cross multiply
    1,035,204.19x = 1,580,832 × 1,580,832
  4. Step 4: Simplify right side
    1,035,204.19x = 2,499,029,812,224
  5. Step 5: Solve for x
    x = 2,499,029,812,224/1,035,204.19
  6. Step 6: Final answer
    x = 2,414,045.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.