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Finding the Third Proportional to 743,805 and 1,526,813

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Solution

The third proportional to 743,805 and 1,526,813 is: 3,134,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,805 : 1,526,813 = 1,526,813 : x
  2. Step 2: Convert to fraction form
    743,805/1,526,813 = 1,526,813/x
  3. Step 3: Cross multiply
    743,805x = 1,526,813 × 1,526,813
  4. Step 4: Simplify right side
    743,805x = 2,331,157,936,969
  5. Step 5: Solve for x
    x = 2,331,157,936,969/743,805
  6. Step 6: Final answer
    x = 3,134,098.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.