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Finding the Third Proportional to 649,305 and 1,409,503.50

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Solution

The third proportional to 649,305 and 1,409,503.50 is: 3,059,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,305 : 1,409,503.50 = 1,409,503.50 : x
  2. Step 2: Convert to fraction form
    649,305/1,409,503.50 = 1,409,503.50/x
  3. Step 3: Cross multiply
    649,305x = 1,409,503.50 × 1,409,503.50
  4. Step 4: Simplify right side
    649,305x = 1,986,700,116,512.25
  5. Step 5: Solve for x
    x = 1,986,700,116,512.25/649,305
  6. Step 6: Final answer
    x = 3,059,733.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.