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Finding the Third Proportional to 724,728 and 1,537,152

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Solution

The third proportional to 724,728 and 1,537,152 is: 3,260,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,728 : 1,537,152 = 1,537,152 : x
  2. Step 2: Convert to fraction form
    724,728/1,537,152 = 1,537,152/x
  3. Step 3: Cross multiply
    724,728x = 1,537,152 × 1,537,152
  4. Step 4: Simplify right side
    724,728x = 2,362,836,271,104
  5. Step 5: Solve for x
    x = 2,362,836,271,104/724,728
  6. Step 6: Final answer
    x = 3,260,307.69

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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.