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Finding the Third Proportional to 953,786 and 1,440,400

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Solution

The third proportional to 953,786 and 1,440,400 is: 2,175,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,786 : 1,440,400 = 1,440,400 : x
  2. Step 2: Convert to fraction form
    953,786/1,440,400 = 1,440,400/x
  3. Step 3: Cross multiply
    953,786x = 1,440,400 × 1,440,400
  4. Step 4: Simplify right side
    953,786x = 2,074,752,160,000
  5. Step 5: Solve for x
    x = 2,074,752,160,000/953,786
  6. Step 6: Final answer
    x = 2,175,280.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.