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Finding the Third Proportional to 747,669 and 1,640,089

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Solution

The third proportional to 747,669 and 1,640,089 is: 3,597,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,669 : 1,640,089 = 1,640,089 : x
  2. Step 2: Convert to fraction form
    747,669/1,640,089 = 1,640,089/x
  3. Step 3: Cross multiply
    747,669x = 1,640,089 × 1,640,089
  4. Step 4: Simplify right side
    747,669x = 2,689,891,927,921
  5. Step 5: Solve for x
    x = 2,689,891,927,921/747,669
  6. Step 6: Final answer
    x = 3,597,704.24

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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.