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Finding the Third Proportional to 476,604 and 992,412

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Solution

The third proportional to 476,604 and 992,412 is: 2,066,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,604 : 992,412 = 992,412 : x
  2. Step 2: Convert to fraction form
    476,604/992,412 = 992,412/x
  3. Step 3: Cross multiply
    476,604x = 992,412 × 992,412
  4. Step 4: Simplify right side
    476,604x = 984,881,577,744
  5. Step 5: Solve for x
    x = 984,881,577,744/476,604
  6. Step 6: Final answer
    x = 2,066,456.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.