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Finding the Third Proportional to 947,416.50 and 2,104,785

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Solution

The third proportional to 947,416.50 and 2,104,785 is: 4,676,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,416.50 : 2,104,785 = 2,104,785 : x
  2. Step 2: Convert to fraction form
    947,416.50/2,104,785 = 2,104,785/x
  3. Step 3: Cross multiply
    947,416.50x = 2,104,785 × 2,104,785
  4. Step 4: Simplify right side
    947,416.50x = 4,430,119,896,225
  5. Step 5: Solve for x
    x = 4,430,119,896,225/947,416.50
  6. Step 6: Final answer
    x = 4,676,000.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.