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Finding the Third Proportional to 656,781.50 and 1,414,880.50

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Solution

The third proportional to 656,781.50 and 1,414,880.50 is: 3,048,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,781.50 : 1,414,880.50 = 1,414,880.50 : x
  2. Step 2: Convert to fraction form
    656,781.50/1,414,880.50 = 1,414,880.50/x
  3. Step 3: Cross multiply
    656,781.50x = 1,414,880.50 × 1,414,880.50
  4. Step 4: Simplify right side
    656,781.50x = 2,001,886,829,280.25
  5. Step 5: Solve for x
    x = 2,001,886,829,280.25/656,781.50
  6. Step 6: Final answer
    x = 3,048,025.61

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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.