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Finding the Third Proportional to 4,344,860 and 6,077,262

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Solution

The third proportional to 4,344,860 and 6,077,262 is: 8,500,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344,860 : 6,077,262 = 6,077,262 : x
  2. Step 2: Convert to fraction form
    4,344,860/6,077,262 = 6,077,262/x
  3. Step 3: Cross multiply
    4,344,860x = 6,077,262 × 6,077,262
  4. Step 4: Simplify right side
    4,344,860x = 36,933,113,416,644
  5. Step 5: Solve for x
    x = 36,933,113,416,644/4,344,860
  6. Step 6: Final answer
    x = 8,500,415.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.