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Finding the Third Proportional to 4,344,840 and 6,077,232

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Solution

The third proportional to 4,344,840 and 6,077,232 is: 8,500,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344,840 : 6,077,232 = 6,077,232 : x
  2. Step 2: Convert to fraction form
    4,344,840/6,077,232 = 6,077,232/x
  3. Step 3: Cross multiply
    4,344,840x = 6,077,232 × 6,077,232
  4. Step 4: Simplify right side
    4,344,840x = 36,932,748,781,824
  5. Step 5: Solve for x
    x = 36,932,748,781,824/4,344,840
  6. Step 6: Final answer
    x = 8,500,370.27

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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.