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Finding the Third Proportional to 463,051.13 and 1,014,648.75

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Solution

The third proportional to 463,051.13 and 1,014,648.75 is: 2,223,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,051.13 : 1,014,648.75 = 1,014,648.75 : x
  2. Step 2: Convert to fraction form
    463,051.13/1,014,648.75 = 1,014,648.75/x
  3. Step 3: Cross multiply
    463,051.13x = 1,014,648.75 × 1,014,648.75
  4. Step 4: Simplify right side
    463,051.13x = 1,029,512,085,876.56
  5. Step 5: Solve for x
    x = 1,029,512,085,876.56/463,051.13
  6. Step 6: Final answer
    x = 2,223,322.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.