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Finding the Third Proportional to 877,940 and 1,923,647

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Solution

The third proportional to 877,940 and 1,923,647 is: 4,214,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,940 : 1,923,647 = 1,923,647 : x
  2. Step 2: Convert to fraction form
    877,940/1,923,647 = 1,923,647/x
  3. Step 3: Cross multiply
    877,940x = 1,923,647 × 1,923,647
  4. Step 4: Simplify right side
    877,940x = 3,700,417,780,609
  5. Step 5: Solve for x
    x = 3,700,417,780,609/877,940
  6. Step 6: Final answer
    x = 4,214,886.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.