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Finding the Third Proportional to 497,305 and 1,073,234

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Solution

The third proportional to 497,305 and 1,073,234 is: 2,316,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,305 : 1,073,234 = 1,073,234 : x
  2. Step 2: Convert to fraction form
    497,305/1,073,234 = 1,073,234/x
  3. Step 3: Cross multiply
    497,305x = 1,073,234 × 1,073,234
  4. Step 4: Simplify right side
    497,305x = 1,151,831,218,756
  5. Step 5: Solve for x
    x = 1,151,831,218,756/497,305
  6. Step 6: Final answer
    x = 2,316,146.47

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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.