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Finding the Third Proportional to 897,714.38 and 1,919,844.75

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Solution

The third proportional to 897,714.38 and 1,919,844.75 is: 4,105,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,714.38 : 1,919,844.75 = 1,919,844.75 : x
  2. Step 2: Convert to fraction form
    897,714.38/1,919,844.75 = 1,919,844.75/x
  3. Step 3: Cross multiply
    897,714.38x = 1,919,844.75 × 1,919,844.75
  4. Step 4: Simplify right side
    897,714.38x = 3,685,803,864,102.56
  5. Step 5: Solve for x
    x = 3,685,803,864,102.56/897,714.38
  6. Step 6: Final answer
    x = 4,105,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.