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Finding the Third Proportional to 641,038 and 1,371,014

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Solution

The third proportional to 641,038 and 1,371,014 is: 2,932,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,038 : 1,371,014 = 1,371,014 : x
  2. Step 2: Convert to fraction form
    641,038/1,371,014 = 1,371,014/x
  3. Step 3: Cross multiply
    641,038x = 1,371,014 × 1,371,014
  4. Step 4: Simplify right side
    641,038x = 1,879,679,388,196
  5. Step 5: Solve for x
    x = 1,879,679,388,196/641,038
  6. Step 6: Final answer
    x = 2,932,243.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.