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Finding the Third Proportional to 847,674 and 1,188,013

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Solution

The third proportional to 847,674 and 1,188,013 is: 1,664,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,674 : 1,188,013 = 1,188,013 : x
  2. Step 2: Convert to fraction form
    847,674/1,188,013 = 1,188,013/x
  3. Step 3: Cross multiply
    847,674x = 1,188,013 × 1,188,013
  4. Step 4: Simplify right side
    847,674x = 1,411,374,888,169
  5. Step 5: Solve for x
    x = 1,411,374,888,169/847,674
  6. Step 6: Final answer
    x = 1,664,997.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.