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Finding the Third Proportional to 824,125.50 and 1,766,521.13

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Solution

The third proportional to 824,125.50 and 1,766,521.13 is: 3,786,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,125.50 : 1,766,521.13 = 1,766,521.13 : x
  2. Step 2: Convert to fraction form
    824,125.50/1,766,521.13 = 1,766,521.13/x
  3. Step 3: Cross multiply
    824,125.50x = 1,766,521.13 × 1,766,521.13
  4. Step 4: Simplify right side
    824,125.50x = 3,120,596,885,071.27
  5. Step 5: Solve for x
    x = 3,120,596,885,071.27/824,125.50
  6. Step 6: Final answer
    x = 3,786,555.43

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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.