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Finding the Third Proportional to 724,710 and 1,537,116

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Solution

The third proportional to 724,710 and 1,537,116 is: 3,260,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,710 : 1,537,116 = 1,537,116 : x
  2. Step 2: Convert to fraction form
    724,710/1,537,116 = 1,537,116/x
  3. Step 3: Cross multiply
    724,710x = 1,537,116 × 1,537,116
  4. Step 4: Simplify right side
    724,710x = 2,362,725,597,456
  5. Step 5: Solve for x
    x = 2,362,725,597,456/724,710
  6. Step 6: Final answer
    x = 3,260,235.95

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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.