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Finding the Third Proportional to 1,849,927 and 3,902,298

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Solution

The third proportional to 1,849,927 and 3,902,298 is: 8,231,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,927 : 3,902,298 = 3,902,298 : x
  2. Step 2: Convert to fraction form
    1,849,927/3,902,298 = 3,902,298/x
  3. Step 3: Cross multiply
    1,849,927x = 3,902,298 × 3,902,298
  4. Step 4: Simplify right side
    1,849,927x = 15,227,929,680,804
  5. Step 5: Solve for x
    x = 15,227,929,680,804/1,849,927
  6. Step 6: Final answer
    x = 8,231,638.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.