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Finding the Third Proportional to 932,733 and 2,039,454

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Solution

The third proportional to 932,733 and 2,039,454 is: 4,459,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,733 : 2,039,454 = 2,039,454 : x
  2. Step 2: Convert to fraction form
    932,733/2,039,454 = 2,039,454/x
  3. Step 3: Cross multiply
    932,733x = 2,039,454 × 2,039,454
  4. Step 4: Simplify right side
    932,733x = 4,159,372,618,116
  5. Step 5: Solve for x
    x = 4,159,372,618,116/932,733
  6. Step 6: Final answer
    x = 4,459,338.97

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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.