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Finding the Third Proportional to 4,334,514 and 6,376,085

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Solution

The third proportional to 4,334,514 and 6,376,085 is: 9,379,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334,514 : 6,376,085 = 6,376,085 : x
  2. Step 2: Convert to fraction form
    4,334,514/6,376,085 = 6,376,085/x
  3. Step 3: Cross multiply
    4,334,514x = 6,376,085 × 6,376,085
  4. Step 4: Simplify right side
    4,334,514x = 40,654,459,927,225
  5. Step 5: Solve for x
    x = 40,654,459,927,225/4,334,514
  6. Step 6: Final answer
    x = 9,379,242.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.