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Finding the Third Proportional to 2,976,309 and 6,460,002

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Solution

The third proportional to 2,976,309 and 6,460,002 is: 14,021,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,309 : 6,460,002 = 6,460,002 : x
  2. Step 2: Convert to fraction form
    2,976,309/6,460,002 = 6,460,002/x
  3. Step 3: Cross multiply
    2,976,309x = 6,460,002 × 6,460,002
  4. Step 4: Simplify right side
    2,976,309x = 41,731,625,840,004
  5. Step 5: Solve for x
    x = 41,731,625,840,004/2,976,309
  6. Step 6: Final answer
    x = 14,021,267.90

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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.