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Finding the Third Proportional to 676,899 and 1,470,509

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Solution

The third proportional to 676,899 and 1,470,509 is: 3,194,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,899 : 1,470,509 = 1,470,509 : x
  2. Step 2: Convert to fraction form
    676,899/1,470,509 = 1,470,509/x
  3. Step 3: Cross multiply
    676,899x = 1,470,509 × 1,470,509
  4. Step 4: Simplify right side
    676,899x = 2,162,396,719,081
  5. Step 5: Solve for x
    x = 2,162,396,719,081/676,899
  6. Step 6: Final answer
    x = 3,194,563.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.