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Finding the Third Proportional to 412,228,278 and 889,021,548

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Solution

The third proportional to 412,228,278 and 889,021,548 is: 1,917,285,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,228,278 : 889,021,548 = 889,021,548 : x
  2. Step 2: Convert to fraction form
    412,228,278/889,021,548 = 889,021,548/x
  3. Step 3: Cross multiply
    412,228,278x = 889,021,548 × 889,021,548
  4. Step 4: Simplify right side
    412,228,278x = 790,359,312,808,316,288
  5. Step 5: Solve for x
    x = 790,359,312,808,316,288/412,228,278
  6. Step 6: Final answer
    x = 1,917,285,530.83

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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.