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Finding the Third Proportional to 1,916,523 and 4,221,921

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Solution

The third proportional to 1,916,523 and 4,221,921 is: 9,300,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,523 : 4,221,921 = 4,221,921 : x
  2. Step 2: Convert to fraction form
    1,916,523/4,221,921 = 4,221,921/x
  3. Step 3: Cross multiply
    1,916,523x = 4,221,921 × 4,221,921
  4. Step 4: Simplify right side
    1,916,523x = 17,824,616,930,241
  5. Step 5: Solve for x
    x = 17,824,616,930,241/1,916,523
  6. Step 6: Final answer
    x = 9,300,497.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.