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Finding the Third Proportional to 1,892,965.50 and 4,105,323

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Solution

The third proportional to 1,892,965.50 and 4,105,323 is: 8,903,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,965.50 : 4,105,323 = 4,105,323 : x
  2. Step 2: Convert to fraction form
    1,892,965.50/4,105,323 = 4,105,323/x
  3. Step 3: Cross multiply
    1,892,965.50x = 4,105,323 × 4,105,323
  4. Step 4: Simplify right side
    1,892,965.50x = 16,853,676,934,329
  5. Step 5: Solve for x
    x = 16,853,676,934,329/1,892,965.50
  6. Step 6: Final answer
    x = 8,903,319.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.