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Finding the Third Proportional to 822,674 and 1,834,396

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Solution

The third proportional to 822,674 and 1,834,396 is: 4,090,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,674 : 1,834,396 = 1,834,396 : x
  2. Step 2: Convert to fraction form
    822,674/1,834,396 = 1,834,396/x
  3. Step 3: Cross multiply
    822,674x = 1,834,396 × 1,834,396
  4. Step 4: Simplify right side
    822,674x = 3,365,008,684,816
  5. Step 5: Solve for x
    x = 3,365,008,684,816/822,674
  6. Step 6: Final answer
    x = 4,090,330.66

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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.