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Finding the Third Proportional to 1,350,886.50 and 2,054,196

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Solution

The third proportional to 1,350,886.50 and 2,054,196 is: 3,123,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,886.50 : 2,054,196 = 2,054,196 : x
  2. Step 2: Convert to fraction form
    1,350,886.50/2,054,196 = 2,054,196/x
  3. Step 3: Cross multiply
    1,350,886.50x = 2,054,196 × 2,054,196
  4. Step 4: Simplify right side
    1,350,886.50x = 4,219,721,206,416
  5. Step 5: Solve for x
    x = 4,219,721,206,416/1,350,886.50
  6. Step 6: Final answer
    x = 3,123,668.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.