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Finding the Third Proportional to 824,582 and 1,790,164

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Solution

The third proportional to 824,582 and 1,790,164 is: 3,886,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,582 : 1,790,164 = 1,790,164 : x
  2. Step 2: Convert to fraction form
    824,582/1,790,164 = 1,790,164/x
  3. Step 3: Cross multiply
    824,582x = 1,790,164 × 1,790,164
  4. Step 4: Simplify right side
    824,582x = 3,204,687,146,896
  5. Step 5: Solve for x
    x = 3,204,687,146,896/824,582
  6. Step 6: Final answer
    x = 3,886,438.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.