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Finding the Third Proportional to 822,640.13 and 1,834,320.56

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Solution

The third proportional to 822,640.13 and 1,834,320.56 is: 4,090,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,640.13 : 1,834,320.56 = 1,834,320.56 : x
  2. Step 2: Convert to fraction form
    822,640.13/1,834,320.56 = 1,834,320.56/x
  3. Step 3: Cross multiply
    822,640.13x = 1,834,320.56 × 1,834,320.56
  4. Step 4: Simplify right side
    822,640.13x = 3,364,731,926,010.32
  5. Step 5: Solve for x
    x = 3,364,731,926,010.32/822,640.13
  6. Step 6: Final answer
    x = 4,090,162.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.