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Finding the Third Proportional to 830,336 and 1,788,019

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Solution

The third proportional to 830,336 and 1,788,019 is: 3,850,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,336 : 1,788,019 = 1,788,019 : x
  2. Step 2: Convert to fraction form
    830,336/1,788,019 = 1,788,019/x
  3. Step 3: Cross multiply
    830,336x = 1,788,019 × 1,788,019
  4. Step 4: Simplify right side
    830,336x = 3,197,011,944,361
  5. Step 5: Solve for x
    x = 3,197,011,944,361/830,336
  6. Step 6: Final answer
    x = 3,850,262.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.