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Finding the Third Proportional to 2,900,829 and 6,283,770

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Solution

The third proportional to 2,900,829 and 6,283,770 is: 13,611,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,829 : 6,283,770 = 6,283,770 : x
  2. Step 2: Convert to fraction form
    2,900,829/6,283,770 = 6,283,770/x
  3. Step 3: Cross multiply
    2,900,829x = 6,283,770 × 6,283,770
  4. Step 4: Simplify right side
    2,900,829x = 39,485,765,412,900
  5. Step 5: Solve for x
    x = 39,485,765,412,900/2,900,829
  6. Step 6: Final answer
    x = 13,611,890.05

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Why These Related Problems?

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