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Finding the Third Proportional to 983,197 and 2,103,021

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Solution

The third proportional to 983,197 and 2,103,021 is: 4,498,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,197 : 2,103,021 = 2,103,021 : x
  2. Step 2: Convert to fraction form
    983,197/2,103,021 = 2,103,021/x
  3. Step 3: Cross multiply
    983,197x = 2,103,021 × 2,103,021
  4. Step 4: Simplify right side
    983,197x = 4,422,697,326,441
  5. Step 5: Solve for x
    x = 4,422,697,326,441/983,197
  6. Step 6: Final answer
    x = 4,498,281.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.