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Finding the Third Proportional to 673,725.09 and 1,017,608.06

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Solution

The third proportional to 673,725.09 and 1,017,608.06 is: 1,537,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,725.09 : 1,017,608.06 = 1,017,608.06 : x
  2. Step 2: Convert to fraction form
    673,725.09/1,017,608.06 = 1,017,608.06/x
  3. Step 3: Cross multiply
    673,725.09x = 1,017,608.06 × 1,017,608.06
  4. Step 4: Simplify right side
    673,725.09x = 1,035,526,168,865.00
  5. Step 5: Solve for x
    x = 1,035,526,168,865.00/673,725.09
  6. Step 6: Final answer
    x = 1,537,015.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.