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Finding the Third Proportional to 1,096,497.38 and 1,644,746.06

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Solution

The third proportional to 1,096,497.38 and 1,644,746.06 is: 2,467,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,497.38 : 1,644,746.06 = 1,644,746.06 : x
  2. Step 2: Convert to fraction form
    1,096,497.38/1,644,746.06 = 1,644,746.06/x
  3. Step 3: Cross multiply
    1,096,497.38x = 1,644,746.06 × 1,644,746.06
  4. Step 4: Simplify right side
    1,096,497.38x = 2,705,189,610,109.25
  5. Step 5: Solve for x
    x = 2,705,189,610,109.25/1,096,497.38
  6. Step 6: Final answer
    x = 2,467,119.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.