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Finding the Third Proportional to 724,722,489 and 1,108,161,315

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Solution

The third proportional to 724,722,489 and 1,108,161,315 is: 1,694,471,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,722,489 : 1,108,161,315 = 1,108,161,315 : x
  2. Step 2: Convert to fraction form
    724,722,489/1,108,161,315 = 1,108,161,315/x
  3. Step 3: Cross multiply
    724,722,489x = 1,108,161,315 × 1,108,161,315
  4. Step 4: Simplify right side
    724,722,489x = 1,228,021,500,062,529,280
  5. Step 5: Solve for x
    x = 1,228,021,500,062,529,280/724,722,489
  6. Step 6: Final answer
    x = 1,694,471,357.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.