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Finding the Third Proportional to 947,903.50 and 2,029,214

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Solution

The third proportional to 947,903.50 and 2,029,214 is: 4,344,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,903.50 : 2,029,214 = 2,029,214 : x
  2. Step 2: Convert to fraction form
    947,903.50/2,029,214 = 2,029,214/x
  3. Step 3: Cross multiply
    947,903.50x = 2,029,214 × 2,029,214
  4. Step 4: Simplify right side
    947,903.50x = 4,117,709,457,796
  5. Step 5: Solve for x
    x = 4,117,709,457,796/947,903.50
  6. Step 6: Final answer
    x = 4,344,017.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.