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Finding the Third Proportional to 501,117.75 and 1,079,779.50

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Solution

The third proportional to 501,117.75 and 1,079,779.50 is: 2,326,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,117.75 : 1,079,779.50 = 1,079,779.50 : x
  2. Step 2: Convert to fraction form
    501,117.75/1,079,779.50 = 1,079,779.50/x
  3. Step 3: Cross multiply
    501,117.75x = 1,079,779.50 × 1,079,779.50
  4. Step 4: Simplify right side
    501,117.75x = 1,165,923,768,620.25
  5. Step 5: Solve for x
    x = 1,165,923,768,620.25/501,117.75
  6. Step 6: Final answer
    x = 2,326,646.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.