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Finding the Third Proportional to 648,874.50 and 1,397,586

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Solution

The third proportional to 648,874.50 and 1,397,586 is: 3,010,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,874.50 : 1,397,586 = 1,397,586 : x
  2. Step 2: Convert to fraction form
    648,874.50/1,397,586 = 1,397,586/x
  3. Step 3: Cross multiply
    648,874.50x = 1,397,586 × 1,397,586
  4. Step 4: Simplify right side
    648,874.50x = 1,953,246,627,396
  5. Step 5: Solve for x
    x = 1,953,246,627,396/648,874.50
  6. Step 6: Final answer
    x = 3,010,207.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.