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Finding the Third Proportional to 610,201.75 and 1,312,233.50

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Solution

The third proportional to 610,201.75 and 1,312,233.50 is: 2,821,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,201.75 : 1,312,233.50 = 1,312,233.50 : x
  2. Step 2: Convert to fraction form
    610,201.75/1,312,233.50 = 1,312,233.50/x
  3. Step 3: Cross multiply
    610,201.75x = 1,312,233.50 × 1,312,233.50
  4. Step 4: Simplify right side
    610,201.75x = 1,721,956,758,522.25
  5. Step 5: Solve for x
    x = 1,721,956,758,522.25/610,201.75
  6. Step 6: Final answer
    x = 2,821,946.61

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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.