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Finding the Third Proportional to 2,976,320 and 6,460,024

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Solution

The third proportional to 2,976,320 and 6,460,024 is: 14,021,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,320 : 6,460,024 = 6,460,024 : x
  2. Step 2: Convert to fraction form
    2,976,320/6,460,024 = 6,460,024/x
  3. Step 3: Cross multiply
    2,976,320x = 6,460,024 × 6,460,024
  4. Step 4: Simplify right side
    2,976,320x = 41,731,910,080,576
  5. Step 5: Solve for x
    x = 41,731,910,080,576/2,976,320
  6. Step 6: Final answer
    x = 14,021,311.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.