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Finding the Third Proportional to 724,052 and 1,590,556

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Solution

The third proportional to 724,052 and 1,590,556 is: 3,494,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,052 : 1,590,556 = 1,590,556 : x
  2. Step 2: Convert to fraction form
    724,052/1,590,556 = 1,590,556/x
  3. Step 3: Cross multiply
    724,052x = 1,590,556 × 1,590,556
  4. Step 4: Simplify right side
    724,052x = 2,529,868,389,136
  5. Step 5: Solve for x
    x = 2,529,868,389,136/724,052
  6. Step 6: Final answer
    x = 3,494,042.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.