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Finding the Third Proportional to 638,835 and 1,296,441

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Solution

The third proportional to 638,835 and 1,296,441 is: 2,630,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,835 : 1,296,441 = 1,296,441 : x
  2. Step 2: Convert to fraction form
    638,835/1,296,441 = 1,296,441/x
  3. Step 3: Cross multiply
    638,835x = 1,296,441 × 1,296,441
  4. Step 4: Simplify right side
    638,835x = 1,680,759,266,481
  5. Step 5: Solve for x
    x = 1,680,759,266,481/638,835
  6. Step 6: Final answer
    x = 2,630,975.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.