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Finding the Third Proportional to 681,983 and 1,136,590

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Solution

The third proportional to 681,983 and 1,136,590 is: 1,894,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,983 : 1,136,590 = 1,136,590 : x
  2. Step 2: Convert to fraction form
    681,983/1,136,590 = 1,136,590/x
  3. Step 3: Cross multiply
    681,983x = 1,136,590 × 1,136,590
  4. Step 4: Simplify right side
    681,983x = 1,291,836,828,100
  5. Step 5: Solve for x
    x = 1,291,836,828,100/681,983
  6. Step 6: Final answer
    x = 1,894,236.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.