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Finding the Third Proportional to 656,777 and 1,414,871

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Solution

The third proportional to 656,777 and 1,414,871 is: 3,048,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,777 : 1,414,871 = 1,414,871 : x
  2. Step 2: Convert to fraction form
    656,777/1,414,871 = 1,414,871/x
  3. Step 3: Cross multiply
    656,777x = 1,414,871 × 1,414,871
  4. Step 4: Simplify right side
    656,777x = 2,001,859,946,641
  5. Step 5: Solve for x
    x = 2,001,859,946,641/656,777
  6. Step 6: Final answer
    x = 3,048,005.56

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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.