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Finding the Third Proportional to 435,517 and 910,935

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Solution

The third proportional to 435,517 and 910,935 is: 1,905,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,517 : 910,935 = 910,935 : x
  2. Step 2: Convert to fraction form
    435,517/910,935 = 910,935/x
  3. Step 3: Cross multiply
    435,517x = 910,935 × 910,935
  4. Step 4: Simplify right side
    435,517x = 829,802,574,225
  5. Step 5: Solve for x
    x = 829,802,574,225/435,517
  6. Step 6: Final answer
    x = 1,905,327.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.