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Finding the Third Proportional to 673,009.50 and 1,464,118.50

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Solution

The third proportional to 673,009.50 and 1,464,118.50 is: 3,185,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,009.50 : 1,464,118.50 = 1,464,118.50 : x
  2. Step 2: Convert to fraction form
    673,009.50/1,464,118.50 = 1,464,118.50/x
  3. Step 3: Cross multiply
    673,009.50x = 1,464,118.50 × 1,464,118.50
  4. Step 4: Simplify right side
    673,009.50x = 2,143,642,982,042.25
  5. Step 5: Solve for x
    x = 2,143,642,982,042.25/673,009.50
  6. Step 6: Final answer
    x = 3,185,160.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.