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Finding the Third Proportional to 410,344 and 926,052

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Solution

The third proportional to 410,344 and 926,052 is: 2,089,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344 : 926,052 = 926,052 : x
  2. Step 2: Convert to fraction form
    410,344/926,052 = 926,052/x
  3. Step 3: Cross multiply
    410,344x = 926,052 × 926,052
  4. Step 4: Simplify right side
    410,344x = 857,572,306,704
  5. Step 5: Solve for x
    x = 857,572,306,704/410,344
  6. Step 6: Final answer
    x = 2,089,886.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.