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Finding the Third Proportional to 1,782,723 and 3,842,646

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Solution

The third proportional to 1,782,723 and 3,842,646 is: 8,282,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,723 : 3,842,646 = 3,842,646 : x
  2. Step 2: Convert to fraction form
    1,782,723/3,842,646 = 3,842,646/x
  3. Step 3: Cross multiply
    1,782,723x = 3,842,646 × 3,842,646
  4. Step 4: Simplify right side
    1,782,723x = 14,765,928,281,316
  5. Step 5: Solve for x
    x = 14,765,928,281,316/1,782,723
  6. Step 6: Final answer
    x = 8,282,794.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.