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Finding the Third Proportional to 724,290 and 1,559,028

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Solution

The third proportional to 724,290 and 1,559,028 is: 3,355,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,290 : 1,559,028 = 1,559,028 : x
  2. Step 2: Convert to fraction form
    724,290/1,559,028 = 1,559,028/x
  3. Step 3: Cross multiply
    724,290x = 1,559,028 × 1,559,028
  4. Step 4: Simplify right side
    724,290x = 2,430,568,304,784
  5. Step 5: Solve for x
    x = 2,430,568,304,784/724,290
  6. Step 6: Final answer
    x = 3,355,794.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.