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Finding the Third Proportional to 822,138 and 1,793,748

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Solution

The third proportional to 822,138 and 1,793,748 is: 3,913,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,138 : 1,793,748 = 1,793,748 : x
  2. Step 2: Convert to fraction form
    822,138/1,793,748 = 1,793,748/x
  3. Step 3: Cross multiply
    822,138x = 1,793,748 × 1,793,748
  4. Step 4: Simplify right side
    822,138x = 3,217,531,887,504
  5. Step 5: Solve for x
    x = 3,217,531,887,504/822,138
  6. Step 6: Final answer
    x = 3,913,615.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.