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Finding the Third Proportional to 475,623 and 990,612

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Solution

The third proportional to 475,623 and 990,612 is: 2,063,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,623 : 990,612 = 990,612 : x
  2. Step 2: Convert to fraction form
    475,623/990,612 = 990,612/x
  3. Step 3: Cross multiply
    475,623x = 990,612 × 990,612
  4. Step 4: Simplify right side
    475,623x = 981,312,134,544
  5. Step 5: Solve for x
    x = 981,312,134,544/475,623
  6. Step 6: Final answer
    x = 2,063,214.21

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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.