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Finding the Third Proportional to 734,001.75 and 1,617,009.75

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Solution

The third proportional to 734,001.75 and 1,617,009.75 is: 3,562,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,001.75 : 1,617,009.75 = 1,617,009.75 : x
  2. Step 2: Convert to fraction form
    734,001.75/1,617,009.75 = 1,617,009.75/x
  3. Step 3: Cross multiply
    734,001.75x = 1,617,009.75 × 1,617,009.75
  4. Step 4: Simplify right side
    734,001.75x = 2,614,720,531,595.06
  5. Step 5: Solve for x
    x = 2,614,720,531,595.06/734,001.75
  6. Step 6: Final answer
    x = 3,562,281.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.