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Finding the Third Proportional to 900,193.50 and 1,962,154.13

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Solution

The third proportional to 900,193.50 and 1,962,154.13 is: 4,276,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,193.50 : 1,962,154.13 = 1,962,154.13 : x
  2. Step 2: Convert to fraction form
    900,193.50/1,962,154.13 = 1,962,154.13/x
  3. Step 3: Cross multiply
    900,193.50x = 1,962,154.13 × 1,962,154.13
  4. Step 4: Simplify right side
    900,193.50x = 3,850,048,810,254.52
  5. Step 5: Solve for x
    x = 3,850,048,810,254.52/900,193.50
  6. Step 6: Final answer
    x = 4,276,912.48

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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.