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Finding the Third Proportional to 822,125 and 1,793,653

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Solution

The third proportional to 822,125 and 1,793,653 is: 3,913,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,125 : 1,793,653 = 1,793,653 : x
  2. Step 2: Convert to fraction form
    822,125/1,793,653 = 1,793,653/x
  3. Step 3: Cross multiply
    822,125x = 1,793,653 × 1,793,653
  4. Step 4: Simplify right side
    822,125x = 3,217,191,084,409
  5. Step 5: Solve for x
    x = 3,217,191,084,409/822,125
  6. Step 6: Final answer
    x = 3,913,262.68

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Why These Related Problems?

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