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Finding the Third Proportional to 420,270 and 928,861.50

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Solution

The third proportional to 420,270 and 928,861.50 is: 2,052,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,270 : 928,861.50 = 928,861.50 : x
  2. Step 2: Convert to fraction form
    420,270/928,861.50 = 928,861.50/x
  3. Step 3: Cross multiply
    420,270x = 928,861.50 × 928,861.50
  4. Step 4: Simplify right side
    420,270x = 862,783,686,182.25
  5. Step 5: Solve for x
    x = 862,783,686,182.25/420,270
  6. Step 6: Final answer
    x = 2,052,927.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.