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Finding the Third Proportional to 1,554,256.50 and 3,344,707.50

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Solution

The third proportional to 1,554,256.50 and 3,344,707.50 is: 7,197,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554,256.50 : 3,344,707.50 = 3,344,707.50 : x
  2. Step 2: Convert to fraction form
    1,554,256.50/3,344,707.50 = 3,344,707.50/x
  3. Step 3: Cross multiply
    1,554,256.50x = 3,344,707.50 × 3,344,707.50
  4. Step 4: Simplify right side
    1,554,256.50x = 11,187,068,260,556.25
  5. Step 5: Solve for x
    x = 11,187,068,260,556.25/1,554,256.50
  6. Step 6: Final answer
    x = 7,197,697.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.