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Finding the Third Proportional to 668,286 and 1,440,900

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Solution

The third proportional to 668,286 and 1,440,900 is: 3,106,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,286 : 1,440,900 = 1,440,900 : x
  2. Step 2: Convert to fraction form
    668,286/1,440,900 = 1,440,900/x
  3. Step 3: Cross multiply
    668,286x = 1,440,900 × 1,440,900
  4. Step 4: Simplify right side
    668,286x = 2,076,192,810,000
  5. Step 5: Solve for x
    x = 2,076,192,810,000/668,286
  6. Step 6: Final answer
    x = 3,106,742.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.