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Finding the Third Proportional to 792,975 and 1,185,997.50

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Solution

The third proportional to 792,975 and 1,185,997.50 is: 1,773,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,975 : 1,185,997.50 = 1,185,997.50 : x
  2. Step 2: Convert to fraction form
    792,975/1,185,997.50 = 1,185,997.50/x
  3. Step 3: Cross multiply
    792,975x = 1,185,997.50 × 1,185,997.50
  4. Step 4: Simplify right side
    792,975x = 1,406,590,070,006.25
  5. Step 5: Solve for x
    x = 1,406,590,070,006.25/792,975
  6. Step 6: Final answer
    x = 1,773,813.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.