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Finding the Third Proportional to 698,680 and 1,068,384

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Solution

The third proportional to 698,680 and 1,068,384 is: 1,633,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,680 : 1,068,384 = 1,068,384 : x
  2. Step 2: Convert to fraction form
    698,680/1,068,384 = 1,068,384/x
  3. Step 3: Cross multiply
    698,680x = 1,068,384 × 1,068,384
  4. Step 4: Simplify right side
    698,680x = 1,141,444,371,456
  5. Step 5: Solve for x
    x = 1,141,444,371,456/698,680
  6. Step 6: Final answer
    x = 1,633,715.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.