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Finding the Third Proportional to 545,218 and 1,189,578

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Solution

The third proportional to 545,218 and 1,189,578 is: 2,595,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,218 : 1,189,578 = 1,189,578 : x
  2. Step 2: Convert to fraction form
    545,218/1,189,578 = 1,189,578/x
  3. Step 3: Cross multiply
    545,218x = 1,189,578 × 1,189,578
  4. Step 4: Simplify right side
    545,218x = 1,415,095,818,084
  5. Step 5: Solve for x
    x = 1,415,095,818,084/545,218
  6. Step 6: Final answer
    x = 2,595,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.