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Finding the Third Proportional to 1,030,774.50 and 1,541,400.75

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Solution

The third proportional to 1,030,774.50 and 1,541,400.75 is: 2,304,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,774.50 : 1,541,400.75 = 1,541,400.75 : x
  2. Step 2: Convert to fraction form
    1,030,774.50/1,541,400.75 = 1,541,400.75/x
  3. Step 3: Cross multiply
    1,030,774.50x = 1,541,400.75 × 1,541,400.75
  4. Step 4: Simplify right side
    1,030,774.50x = 2,375,916,272,100.56
  5. Step 5: Solve for x
    x = 2,375,916,272,100.56/1,030,774.50
  6. Step 6: Final answer
    x = 2,304,981.62

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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.