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Finding the Third Proportional to 530,219.25 and 1,121,853.38

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Solution

The third proportional to 530,219.25 and 1,121,853.38 is: 2,373,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,219.25 : 1,121,853.38 = 1,121,853.38 : x
  2. Step 2: Convert to fraction form
    530,219.25/1,121,853.38 = 1,121,853.38/x
  3. Step 3: Cross multiply
    530,219.25x = 1,121,853.38 × 1,121,853.38
  4. Step 4: Simplify right side
    530,219.25x = 1,258,554,994,998.89
  5. Step 5: Solve for x
    x = 1,258,554,994,998.89/530,219.25
  6. Step 6: Final answer
    x = 2,373,650.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.