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Finding the Third Proportional to 724,710 and 1,197,765

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Solution

The third proportional to 724,710 and 1,197,765 is: 1,979,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,710 : 1,197,765 = 1,197,765 : x
  2. Step 2: Convert to fraction form
    724,710/1,197,765 = 1,197,765/x
  3. Step 3: Cross multiply
    724,710x = 1,197,765 × 1,197,765
  4. Step 4: Simplify right side
    724,710x = 1,434,640,995,225
  5. Step 5: Solve for x
    x = 1,434,640,995,225/724,710
  6. Step 6: Final answer
    x = 1,979,607.01

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.