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Finding the Third Proportional to 475,608 and 990,582

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Solution

The third proportional to 475,608 and 990,582 is: 2,063,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,608 : 990,582 = 990,582 : x
  2. Step 2: Convert to fraction form
    475,608/990,582 = 990,582/x
  3. Step 3: Cross multiply
    475,608x = 990,582 × 990,582
  4. Step 4: Simplify right side
    475,608x = 981,252,698,724
  5. Step 5: Solve for x
    x = 981,252,698,724/475,608
  6. Step 6: Final answer
    x = 2,063,154.32

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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.