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Finding the Third Proportional to 479,954 and 1,050,304

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Solution

The third proportional to 479,954 and 1,050,304 is: 2,298,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,954 : 1,050,304 = 1,050,304 : x
  2. Step 2: Convert to fraction form
    479,954/1,050,304 = 1,050,304/x
  3. Step 3: Cross multiply
    479,954x = 1,050,304 × 1,050,304
  4. Step 4: Simplify right side
    479,954x = 1,103,138,492,416
  5. Step 5: Solve for x
    x = 1,103,138,492,416/479,954
  6. Step 6: Final answer
    x = 2,298,425.46

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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.