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Finding the Third Proportional to 4,387,734 and 6,698,241

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Solution

The third proportional to 4,387,734 and 6,698,241 is: 10,225,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387,734 : 6,698,241 = 6,698,241 : x
  2. Step 2: Convert to fraction form
    4,387,734/6,698,241 = 6,698,241/x
  3. Step 3: Cross multiply
    4,387,734x = 6,698,241 × 6,698,241
  4. Step 4: Simplify right side
    4,387,734x = 44,866,432,494,081
  5. Step 5: Solve for x
    x = 44,866,432,494,081/4,387,734
  6. Step 6: Final answer
    x = 10,225,422.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.