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Finding the Third Proportional to 747,673 and 1,640,097

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Solution

The third proportional to 747,673 and 1,640,097 is: 3,597,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,673 : 1,640,097 = 1,640,097 : x
  2. Step 2: Convert to fraction form
    747,673/1,640,097 = 1,640,097/x
  3. Step 3: Cross multiply
    747,673x = 1,640,097 × 1,640,097
  4. Step 4: Simplify right side
    747,673x = 2,689,918,169,409
  5. Step 5: Solve for x
    x = 2,689,918,169,409/747,673
  6. Step 6: Final answer
    x = 3,597,720.09

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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.