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Finding the Third Proportional to 1,464,871.50 and 3,213,381

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Solution

The third proportional to 1,464,871.50 and 3,213,381 is: 7,048,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,871.50 : 3,213,381 = 3,213,381 : x
  2. Step 2: Convert to fraction form
    1,464,871.50/3,213,381 = 3,213,381/x
  3. Step 3: Cross multiply
    1,464,871.50x = 3,213,381 × 3,213,381
  4. Step 4: Simplify right side
    1,464,871.50x = 10,325,817,451,161
  5. Step 5: Solve for x
    x = 10,325,817,451,161/1,464,871.50
  6. Step 6: Final answer
    x = 7,048,957.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.