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Finding the Third Proportional to 675,475.45 and 1,044,770.91

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Solution

The third proportional to 675,475.45 and 1,044,770.91 is: 1,615,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,475.45 : 1,044,770.91 = 1,044,770.91 : x
  2. Step 2: Convert to fraction form
    675,475.45/1,044,770.91 = 1,044,770.91/x
  3. Step 3: Cross multiply
    675,475.45x = 1,044,770.91 × 1,044,770.91
  4. Step 4: Simplify right side
    675,475.45x = 1,091,546,246,546.45
  5. Step 5: Solve for x
    x = 1,091,546,246,546.45/675,475.45
  6. Step 6: Final answer
    x = 1,615,967.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.