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Finding the Third Proportional to 4,605,029 and 6,441,361

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Solution

The third proportional to 4,605,029 and 6,441,361 is: 9,009,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605,029 : 6,441,361 = 6,441,361 : x
  2. Step 2: Convert to fraction form
    4,605,029/6,441,361 = 6,441,361/x
  3. Step 3: Cross multiply
    4,605,029x = 6,441,361 × 6,441,361
  4. Step 4: Simplify right side
    4,605,029x = 41,491,131,532,321
  5. Step 5: Solve for x
    x = 41,491,131,532,321/4,605,029
  6. Step 6: Final answer
    x = 9,009,960.96

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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.