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Finding the Third Proportional to 649,921.50 and 1,402,601

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Solution

The third proportional to 649,921.50 and 1,402,601 is: 3,026,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,921.50 : 1,402,601 = 1,402,601 : x
  2. Step 2: Convert to fraction form
    649,921.50/1,402,601 = 1,402,601/x
  3. Step 3: Cross multiply
    649,921.50x = 1,402,601 × 1,402,601
  4. Step 4: Simplify right side
    649,921.50x = 1,967,289,565,201
  5. Step 5: Solve for x
    x = 1,967,289,565,201/649,921.50
  6. Step 6: Final answer
    x = 3,026,964.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.