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Finding the Third Proportional to 724,704 and 1,537,104

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Solution

The third proportional to 724,704 and 1,537,104 is: 3,260,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,704 : 1,537,104 = 1,537,104 : x
  2. Step 2: Convert to fraction form
    724,704/1,537,104 = 1,537,104/x
  3. Step 3: Cross multiply
    724,704x = 1,537,104 × 1,537,104
  4. Step 4: Simplify right side
    724,704x = 2,362,688,706,816
  5. Step 5: Solve for x
    x = 2,362,688,706,816/724,704
  6. Step 6: Final answer
    x = 3,260,212.04

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Why These Related Problems?

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