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Finding the Third Proportional to 656,880 and 1,411,984

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Solution

The third proportional to 656,880 and 1,411,984 is: 3,035,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,880 : 1,411,984 = 1,411,984 : x
  2. Step 2: Convert to fraction form
    656,880/1,411,984 = 1,411,984/x
  3. Step 3: Cross multiply
    656,880x = 1,411,984 × 1,411,984
  4. Step 4: Simplify right side
    656,880x = 1,993,698,816,256
  5. Step 5: Solve for x
    x = 1,993,698,816,256/656,880
  6. Step 6: Final answer
    x = 3,035,103.54

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