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Finding the Third Proportional to 683,815 and 1,467,319

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Solution

The third proportional to 683,815 and 1,467,319 is: 3,148,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,815 : 1,467,319 = 1,467,319 : x
  2. Step 2: Convert to fraction form
    683,815/1,467,319 = 1,467,319/x
  3. Step 3: Cross multiply
    683,815x = 1,467,319 × 1,467,319
  4. Step 4: Simplify right side
    683,815x = 2,153,025,047,761
  5. Step 5: Solve for x
    x = 2,153,025,047,761/683,815
  6. Step 6: Final answer
    x = 3,148,549.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.