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Finding the Third Proportional to 468,176.63 and 1,010,103.75

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Solution

The third proportional to 468,176.63 and 1,010,103.75 is: 2,179,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,176.63 : 1,010,103.75 = 1,010,103.75 : x
  2. Step 2: Convert to fraction form
    468,176.63/1,010,103.75 = 1,010,103.75/x
  3. Step 3: Cross multiply
    468,176.63x = 1,010,103.75 × 1,010,103.75
  4. Step 4: Simplify right side
    468,176.63x = 1,020,309,585,764.06
  5. Step 5: Solve for x
    x = 1,020,309,585,764.06/468,176.63
  6. Step 6: Final answer
    x = 2,179,326.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.