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Finding the Third Proportional to 724,671 and 1,705,141.50

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Solution

The third proportional to 724,671 and 1,705,141.50 is: 4,012,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,671 : 1,705,141.50 = 1,705,141.50 : x
  2. Step 2: Convert to fraction form
    724,671/1,705,141.50 = 1,705,141.50/x
  3. Step 3: Cross multiply
    724,671x = 1,705,141.50 × 1,705,141.50
  4. Step 4: Simplify right side
    724,671x = 2,907,507,535,022.25
  5. Step 5: Solve for x
    x = 2,907,507,535,022.25/724,671
  6. Step 6: Final answer
    x = 4,012,175.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.