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Finding the Third Proportional to 1,920,529.50 and 4,195,407

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Solution

The third proportional to 1,920,529.50 and 4,195,407 is: 9,164,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,529.50 : 4,195,407 = 4,195,407 : x
  2. Step 2: Convert to fraction form
    1,920,529.50/4,195,407 = 4,195,407/x
  3. Step 3: Cross multiply
    1,920,529.50x = 4,195,407 × 4,195,407
  4. Step 4: Simplify right side
    1,920,529.50x = 17,601,439,895,649
  5. Step 5: Solve for x
    x = 17,601,439,895,649/1,920,529.50
  6. Step 6: Final answer
    x = 9,164,889.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.