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Finding the Third Proportional to 1,545,564 and 2,364,240

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Solution

The third proportional to 1,545,564 and 2,364,240 is: 3,616,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,564 : 2,364,240 = 2,364,240 : x
  2. Step 2: Convert to fraction form
    1,545,564/2,364,240 = 2,364,240/x
  3. Step 3: Cross multiply
    1,545,564x = 2,364,240 × 2,364,240
  4. Step 4: Simplify right side
    1,545,564x = 5,589,630,777,600
  5. Step 5: Solve for x
    x = 5,589,630,777,600/1,545,564
  6. Step 6: Final answer
    x = 3,616,563.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.