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Finding the Third Proportional to 724,984,686 and 1,073,886,885

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Solution

The third proportional to 724,984,686 and 1,073,886,885 is: 1,590,699,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,984,686 : 1,073,886,885 = 1,073,886,885 : x
  2. Step 2: Convert to fraction form
    724,984,686/1,073,886,885 = 1,073,886,885/x
  3. Step 3: Cross multiply
    724,984,686x = 1,073,886,885 × 1,073,886,885
  4. Step 4: Simplify right side
    724,984,686x = 1,153,233,041,775,003,136
  5. Step 5: Solve for x
    x = 1,153,233,041,775,003,136/724,984,686
  6. Step 6: Final answer
    x = 1,590,699,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.