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Finding the Third Proportional to 884,958 and 1,930,656

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Solution

The third proportional to 884,958 and 1,930,656 is: 4,211,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,958 : 1,930,656 = 1,930,656 : x
  2. Step 2: Convert to fraction form
    884,958/1,930,656 = 1,930,656/x
  3. Step 3: Cross multiply
    884,958x = 1,930,656 × 1,930,656
  4. Step 4: Simplify right side
    884,958x = 3,727,432,590,336
  5. Step 5: Solve for x
    x = 3,727,432,590,336/884,958
  6. Step 6: Final answer
    x = 4,211,988.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.