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Finding the Third Proportional to 473,604 and 990,984

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Solution

The third proportional to 473,604 and 990,984 is: 2,073,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,604 : 990,984 = 990,984 : x
  2. Step 2: Convert to fraction form
    473,604/990,984 = 990,984/x
  3. Step 3: Cross multiply
    473,604x = 990,984 × 990,984
  4. Step 4: Simplify right side
    473,604x = 982,049,288,256
  5. Step 5: Solve for x
    x = 982,049,288,256/473,604
  6. Step 6: Final answer
    x = 2,073,566.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.