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Finding the Third Proportional to 1,601,000.86 and 3,457,630.76

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Solution

The third proportional to 1,601,000.86 and 3,457,630.76 is: 7,467,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,000.86 : 3,457,630.76 = 3,457,630.76 : x
  2. Step 2: Convert to fraction form
    1,601,000.86/3,457,630.76 = 3,457,630.76/x
  3. Step 3: Cross multiply
    1,601,000.86x = 3,457,630.76 × 3,457,630.76
  4. Step 4: Simplify right side
    1,601,000.86x = 11,955,210,457,371.04
  5. Step 5: Solve for x
    x = 11,955,210,457,371.04/1,601,000.86
  6. Step 6: Final answer
    x = 7,467,335.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.