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Finding the Third Proportional to 674,107 and 1,431,319

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Solution

The third proportional to 674,107 and 1,431,319 is: 3,039,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,107 : 1,431,319 = 1,431,319 : x
  2. Step 2: Convert to fraction form
    674,107/1,431,319 = 1,431,319/x
  3. Step 3: Cross multiply
    674,107x = 1,431,319 × 1,431,319
  4. Step 4: Simplify right side
    674,107x = 2,048,674,079,761
  5. Step 5: Solve for x
    x = 2,048,674,079,761/674,107
  6. Step 6: Final answer
    x = 3,039,093.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.