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Finding the Third Proportional to 475,857 and 1,030,121

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Solution

The third proportional to 475,857 and 1,030,121 is: 2,229,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,857 : 1,030,121 = 1,030,121 : x
  2. Step 2: Convert to fraction form
    475,857/1,030,121 = 1,030,121/x
  3. Step 3: Cross multiply
    475,857x = 1,030,121 × 1,030,121
  4. Step 4: Simplify right side
    475,857x = 1,061,149,274,641
  5. Step 5: Solve for x
    x = 1,061,149,274,641/475,857
  6. Step 6: Final answer
    x = 2,229,975.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.