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Finding the Third Proportional to 961,415 and 1,467,548

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Solution

The third proportional to 961,415 and 1,467,548 is: 2,240,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,415 : 1,467,548 = 1,467,548 : x
  2. Step 2: Convert to fraction form
    961,415/1,467,548 = 1,467,548/x
  3. Step 3: Cross multiply
    961,415x = 1,467,548 × 1,467,548
  4. Step 4: Simplify right side
    961,415x = 2,153,697,132,304
  5. Step 5: Solve for x
    x = 2,153,697,132,304/961,415
  6. Step 6: Final answer
    x = 2,240,132.65

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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.