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Finding the Third Proportional to 1,532,884.50 and 3,164,169

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Solution

The third proportional to 1,532,884.50 and 3,164,169 is: 6,531,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,884.50 : 3,164,169 = 3,164,169 : x
  2. Step 2: Convert to fraction form
    1,532,884.50/3,164,169 = 3,164,169/x
  3. Step 3: Cross multiply
    1,532,884.50x = 3,164,169 × 3,164,169
  4. Step 4: Simplify right side
    1,532,884.50x = 10,011,965,460,561
  5. Step 5: Solve for x
    x = 10,011,965,460,561/1,532,884.50
  6. Step 6: Final answer
    x = 6,531,454.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.