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Finding the Third Proportional to 465,678 and 992,412

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Solution

The third proportional to 465,678 and 992,412 is: 2,114,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,678 : 992,412 = 992,412 : x
  2. Step 2: Convert to fraction form
    465,678/992,412 = 992,412/x
  3. Step 3: Cross multiply
    465,678x = 992,412 × 992,412
  4. Step 4: Simplify right side
    465,678x = 984,881,577,744
  5. Step 5: Solve for x
    x = 984,881,577,744/465,678
  6. Step 6: Final answer
    x = 2,114,941.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.