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Finding the Third Proportional to 621,830 and 1,342,912

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Solution

The third proportional to 621,830 and 1,342,912 is: 2,900,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,830 : 1,342,912 = 1,342,912 : x
  2. Step 2: Convert to fraction form
    621,830/1,342,912 = 1,342,912/x
  3. Step 3: Cross multiply
    621,830x = 1,342,912 × 1,342,912
  4. Step 4: Simplify right side
    621,830x = 1,803,412,639,744
  5. Step 5: Solve for x
    x = 1,803,412,639,744/621,830
  6. Step 6: Final answer
    x = 2,900,169.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.