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Finding the Third Proportional to 984,362 and 2,105,217

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Solution

The third proportional to 984,362 and 2,105,217 is: 4,502,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,362 : 2,105,217 = 2,105,217 : x
  2. Step 2: Convert to fraction form
    984,362/2,105,217 = 2,105,217/x
  3. Step 3: Cross multiply
    984,362x = 2,105,217 × 2,105,217
  4. Step 4: Simplify right side
    984,362x = 4,431,938,617,089
  5. Step 5: Solve for x
    x = 4,431,938,617,089/984,362
  6. Step 6: Final answer
    x = 4,502,346.31

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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.