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Finding the Third Proportional to 897,714.19 and 1,919,844.38

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Solution

The third proportional to 897,714.19 and 1,919,844.38 is: 4,105,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,714.19 : 1,919,844.38 = 1,919,844.38 : x
  2. Step 2: Convert to fraction form
    897,714.19/1,919,844.38 = 1,919,844.38/x
  3. Step 3: Cross multiply
    897,714.19x = 1,919,844.38 × 1,919,844.38
  4. Step 4: Simplify right side
    897,714.19x = 3,685,802,424,219.14
  5. Step 5: Solve for x
    x = 3,685,802,424,219.14/897,714.19
  6. Step 6: Final answer
    x = 4,105,763.81

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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.