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Finding the Third Proportional to 724,286 and 1,559,020

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Solution

The third proportional to 724,286 and 1,559,020 is: 3,355,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,286 : 1,559,020 = 1,559,020 : x
  2. Step 2: Convert to fraction form
    724,286/1,559,020 = 1,559,020/x
  3. Step 3: Cross multiply
    724,286x = 1,559,020 × 1,559,020
  4. Step 4: Simplify right side
    724,286x = 2,430,543,360,400
  5. Step 5: Solve for x
    x = 2,430,543,360,400/724,286
  6. Step 6: Final answer
    x = 3,355,778.46

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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.