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Finding the Third Proportional to 932,734 and 2,039,456

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Solution

The third proportional to 932,734 and 2,039,456 is: 4,459,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,734 : 2,039,456 = 2,039,456 : x
  2. Step 2: Convert to fraction form
    932,734/2,039,456 = 2,039,456/x
  3. Step 3: Cross multiply
    932,734x = 2,039,456 × 2,039,456
  4. Step 4: Simplify right side
    932,734x = 4,159,380,775,936
  5. Step 5: Solve for x
    x = 4,159,380,775,936/932,734
  6. Step 6: Final answer
    x = 4,459,342.94

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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.