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Finding the Third Proportional to 800,446 and 1,748,636

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Solution

The third proportional to 800,446 and 1,748,636 is: 3,820,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,446 : 1,748,636 = 1,748,636 : x
  2. Step 2: Convert to fraction form
    800,446/1,748,636 = 1,748,636/x
  3. Step 3: Cross multiply
    800,446x = 1,748,636 × 1,748,636
  4. Step 4: Simplify right side
    800,446x = 3,057,727,860,496
  5. Step 5: Solve for x
    x = 3,057,727,860,496/800,446
  6. Step 6: Final answer
    x = 3,820,030.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.