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Finding the Third Proportional to 415,747.19 and 898,022.38

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Solution

The third proportional to 415,747.19 and 898,022.38 is: 1,939,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,747.19 : 898,022.38 = 898,022.38 : x
  2. Step 2: Convert to fraction form
    415,747.19/898,022.38 = 898,022.38/x
  3. Step 3: Cross multiply
    415,747.19x = 898,022.38 × 898,022.38
  4. Step 4: Simplify right side
    415,747.19x = 806,444,186,000.64
  5. Step 5: Solve for x
    x = 806,444,186,000.64/415,747.19
  6. Step 6: Final answer
    x = 1,939,746.58

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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.