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Finding the Third Proportional to 1,534,177 and 2,300,113.50

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Solution

The third proportional to 1,534,177 and 2,300,113.50 is: 3,448,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,177 : 2,300,113.50 = 2,300,113.50 : x
  2. Step 2: Convert to fraction form
    1,534,177/2,300,113.50 = 2,300,113.50/x
  3. Step 3: Cross multiply
    1,534,177x = 2,300,113.50 × 2,300,113.50
  4. Step 4: Simplify right side
    1,534,177x = 5,290,522,112,882.25
  5. Step 5: Solve for x
    x = 5,290,522,112,882.25/1,534,177
  6. Step 6: Final answer
    x = 3,448,443.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.