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Finding the Third Proportional to 515,409.75 and 1,122,300.56

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Solution

The third proportional to 515,409.75 and 1,122,300.56 is: 2,443,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,409.75 : 1,122,300.56 = 1,122,300.56 : x
  2. Step 2: Convert to fraction form
    515,409.75/1,122,300.56 = 1,122,300.56/x
  3. Step 3: Cross multiply
    515,409.75x = 1,122,300.56 × 1,122,300.56
  4. Step 4: Simplify right side
    515,409.75x = 1,259,558,552,587.82
  5. Step 5: Solve for x
    x = 1,259,558,552,587.82/515,409.75
  6. Step 6: Final answer
    x = 2,443,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.