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Finding the Third Proportional to 1,827,456 and 3,927,072

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Solution

The third proportional to 1,827,456 and 3,927,072 is: 8,438,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,456 : 3,927,072 = 3,927,072 : x
  2. Step 2: Convert to fraction form
    1,827,456/3,927,072 = 3,927,072/x
  3. Step 3: Cross multiply
    1,827,456x = 3,927,072 × 3,927,072
  4. Step 4: Simplify right side
    1,827,456x = 15,421,894,493,184
  5. Step 5: Solve for x
    x = 15,421,894,493,184/1,827,456
  6. Step 6: Final answer
    x = 8,438,996.34

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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.