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Finding the Third Proportional to 683,576 and 1,495,805

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Solution

The third proportional to 683,576 and 1,495,805 is: 3,273,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,576 : 1,495,805 = 1,495,805 : x
  2. Step 2: Convert to fraction form
    683,576/1,495,805 = 1,495,805/x
  3. Step 3: Cross multiply
    683,576x = 1,495,805 × 1,495,805
  4. Step 4: Simplify right side
    683,576x = 2,237,432,598,025
  5. Step 5: Solve for x
    x = 2,237,432,598,025/683,576
  6. Step 6: Final answer
    x = 3,273,129.25

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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.