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Finding the Third Proportional to 702,594 and 1,541,745

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Solution

The third proportional to 702,594 and 1,541,745 is: 3,383,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,594 : 1,541,745 = 1,541,745 : x
  2. Step 2: Convert to fraction form
    702,594/1,541,745 = 1,541,745/x
  3. Step 3: Cross multiply
    702,594x = 1,541,745 × 1,541,745
  4. Step 4: Simplify right side
    702,594x = 2,376,977,645,025
  5. Step 5: Solve for x
    x = 2,376,977,645,025/702,594
  6. Step 6: Final answer
    x = 3,383,145.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.