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Finding the Third Proportional to 562,400.75 and 1,210,150.03

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Solution

The third proportional to 562,400.75 and 1,210,150.03 is: 2,603,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,400.75 : 1,210,150.03 = 1,210,150.03 : x
  2. Step 2: Convert to fraction form
    562,400.75/1,210,150.03 = 1,210,150.03/x
  3. Step 3: Cross multiply
    562,400.75x = 1,210,150.03 × 1,210,150.03
  4. Step 4: Simplify right side
    562,400.75x = 1,464,463,098,134.38
  5. Step 5: Solve for x
    x = 1,464,463,098,134.38/562,400.75
  6. Step 6: Final answer
    x = 2,603,949.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.