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Finding the Third Proportional to 724,708.50 and 1,537,113

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Solution

The third proportional to 724,708.50 and 1,537,113 is: 3,260,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,708.50 : 1,537,113 = 1,537,113 : x
  2. Step 2: Convert to fraction form
    724,708.50/1,537,113 = 1,537,113/x
  3. Step 3: Cross multiply
    724,708.50x = 1,537,113 × 1,537,113
  4. Step 4: Simplify right side
    724,708.50x = 2,362,716,374,769
  5. Step 5: Solve for x
    x = 2,362,716,374,769/724,708.50
  6. Step 6: Final answer
    x = 3,260,229.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.