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Finding the Third Proportional to 698,042 and 1,519,690

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Solution

The third proportional to 698,042 and 1,519,690 is: 3,308,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,042 : 1,519,690 = 1,519,690 : x
  2. Step 2: Convert to fraction form
    698,042/1,519,690 = 1,519,690/x
  3. Step 3: Cross multiply
    698,042x = 1,519,690 × 1,519,690
  4. Step 4: Simplify right side
    698,042x = 2,309,457,696,100
  5. Step 5: Solve for x
    x = 2,309,457,696,100/698,042
  6. Step 6: Final answer
    x = 3,308,479.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.