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Finding the Third Proportional to 961,423 and 1,467,560

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Solution

The third proportional to 961,423 and 1,467,560 is: 2,240,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,423 : 1,467,560 = 1,467,560 : x
  2. Step 2: Convert to fraction form
    961,423/1,467,560 = 1,467,560/x
  3. Step 3: Cross multiply
    961,423x = 1,467,560 × 1,467,560
  4. Step 4: Simplify right side
    961,423x = 2,153,732,353,600
  5. Step 5: Solve for x
    x = 2,153,732,353,600/961,423
  6. Step 6: Final answer
    x = 2,240,150.65

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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.