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Finding the Third Proportional to 827,779.50 and 1,458,934.03

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Solution

The third proportional to 827,779.50 and 1,458,934.03 is: 2,571,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,779.50 : 1,458,934.03 = 1,458,934.03 : x
  2. Step 2: Convert to fraction form
    827,779.50/1,458,934.03 = 1,458,934.03/x
  3. Step 3: Cross multiply
    827,779.50x = 1,458,934.03 × 1,458,934.03
  4. Step 4: Simplify right side
    827,779.50x = 2,128,488,507,539.38
  5. Step 5: Solve for x
    x = 2,128,488,507,539.38/827,779.50
  6. Step 6: Final answer
    x = 2,571,323.05

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.