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Finding the Third Proportional to 656,832 and 1,421,620

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Solution

The third proportional to 656,832 and 1,421,620 is: 3,076,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,832 : 1,421,620 = 1,421,620 : x
  2. Step 2: Convert to fraction form
    656,832/1,421,620 = 1,421,620/x
  3. Step 3: Cross multiply
    656,832x = 1,421,620 × 1,421,620
  4. Step 4: Simplify right side
    656,832x = 2,021,003,424,400
  5. Step 5: Solve for x
    x = 2,021,003,424,400/656,832
  6. Step 6: Final answer
    x = 3,076,895.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.