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Finding the Third Proportional to 1,289,092 and 2,835,944

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Solution

The third proportional to 1,289,092 and 2,835,944 is: 6,238,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,092 : 2,835,944 = 2,835,944 : x
  2. Step 2: Convert to fraction form
    1,289,092/2,835,944 = 2,835,944/x
  3. Step 3: Cross multiply
    1,289,092x = 2,835,944 × 2,835,944
  4. Step 4: Simplify right side
    1,289,092x = 8,042,578,371,136
  5. Step 5: Solve for x
    x = 8,042,578,371,136/1,289,092
  6. Step 6: Final answer
    x = 6,238,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.