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Finding the Third Proportional to 977,589 and 1,365,720.75

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Solution

The third proportional to 977,589 and 1,365,720.75 is: 1,907,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,589 : 1,365,720.75 = 1,365,720.75 : x
  2. Step 2: Convert to fraction form
    977,589/1,365,720.75 = 1,365,720.75/x
  3. Step 3: Cross multiply
    977,589x = 1,365,720.75 × 1,365,720.75
  4. Step 4: Simplify right side
    977,589x = 1,865,193,166,980.56
  5. Step 5: Solve for x
    x = 1,865,193,166,980.56/977,589
  6. Step 6: Final answer
    x = 1,907,952.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.