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Finding the Third Proportional to 683,498 and 1,495,669

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Solution

The third proportional to 683,498 and 1,495,669 is: 3,272,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,498 : 1,495,669 = 1,495,669 : x
  2. Step 2: Convert to fraction form
    683,498/1,495,669 = 1,495,669/x
  3. Step 3: Cross multiply
    683,498x = 1,495,669 × 1,495,669
  4. Step 4: Simplify right side
    683,498x = 2,237,025,757,561
  5. Step 5: Solve for x
    x = 2,237,025,757,561/683,498
  6. Step 6: Final answer
    x = 3,272,907.54

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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.