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Finding the Third Proportional to 982,840 and 2,102,308

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Solution

The third proportional to 982,840 and 2,102,308 is: 4,496,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,840 : 2,102,308 = 2,102,308 : x
  2. Step 2: Convert to fraction form
    982,840/2,102,308 = 2,102,308/x
  3. Step 3: Cross multiply
    982,840x = 2,102,308 × 2,102,308
  4. Step 4: Simplify right side
    982,840x = 4,419,698,926,864
  5. Step 5: Solve for x
    x = 4,419,698,926,864/982,840
  6. Step 6: Final answer
    x = 4,496,865.13

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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.