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Finding the Third Proportional to 410,348 and 926,062

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Solution

The third proportional to 410,348 and 926,062 is: 2,089,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,348 : 926,062 = 926,062 : x
  2. Step 2: Convert to fraction form
    410,348/926,062 = 926,062/x
  3. Step 3: Cross multiply
    410,348x = 926,062 × 926,062
  4. Step 4: Simplify right side
    410,348x = 857,590,827,844
  5. Step 5: Solve for x
    x = 857,590,827,844/410,348
  6. Step 6: Final answer
    x = 2,089,911.07

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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.