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Finding the Third Proportional to 609,246.56 and 947,176.03

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Solution

The third proportional to 609,246.56 and 947,176.03 is: 1,472,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,246.56 : 947,176.03 = 947,176.03 : x
  2. Step 2: Convert to fraction form
    609,246.56/947,176.03 = 947,176.03/x
  3. Step 3: Cross multiply
    609,246.56x = 947,176.03 × 947,176.03
  4. Step 4: Simplify right side
    609,246.56x = 897,142,434,174.50
  5. Step 5: Solve for x
    x = 897,142,434,174.50/609,246.56
  6. Step 6: Final answer
    x = 1,472,544.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.