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Finding the Third Proportional to 973,230 and 2,135,917.50

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Solution

The third proportional to 973,230 and 2,135,917.50 is: 4,687,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,230 : 2,135,917.50 = 2,135,917.50 : x
  2. Step 2: Convert to fraction form
    973,230/2,135,917.50 = 2,135,917.50/x
  3. Step 3: Cross multiply
    973,230x = 2,135,917.50 × 2,135,917.50
  4. Step 4: Simplify right side
    973,230x = 4,562,143,566,806.25
  5. Step 5: Solve for x
    x = 4,562,143,566,806.25/973,230
  6. Step 6: Final answer
    x = 4,687,631.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.