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Finding the Third Proportional to 1,024,494.75 and 1,503,527.06

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Solution

The third proportional to 1,024,494.75 and 1,503,527.06 is: 2,206,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,494.75 : 1,503,527.06 = 1,503,527.06 : x
  2. Step 2: Convert to fraction form
    1,024,494.75/1,503,527.06 = 1,503,527.06/x
  3. Step 3: Cross multiply
    1,024,494.75x = 1,503,527.06 × 1,503,527.06
  4. Step 4: Simplify right side
    1,024,494.75x = 2,260,593,627,669.88
  5. Step 5: Solve for x
    x = 2,260,593,627,669.88/1,024,494.75
  6. Step 6: Final answer
    x = 2,206,544.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.