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Finding the Third Proportional to 1,221,835.50 and 2,684,058

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Solution

The third proportional to 1,221,835.50 and 2,684,058 is: 5,896,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,835.50 : 2,684,058 = 2,684,058 : x
  2. Step 2: Convert to fraction form
    1,221,835.50/2,684,058 = 2,684,058/x
  3. Step 3: Cross multiply
    1,221,835.50x = 2,684,058 × 2,684,058
  4. Step 4: Simplify right side
    1,221,835.50x = 7,204,167,347,364
  5. Step 5: Solve for x
    x = 7,204,167,347,364/1,221,835.50
  6. Step 6: Final answer
    x = 5,896,184.35

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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.