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Finding the Third Proportional to 1,798,577,786 and 2,697,857,769

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Solution

The third proportional to 1,798,577,786 and 2,697,857,769 is: 4,046,773,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,577,786 : 2,697,857,769 = 2,697,857,769 : x
  2. Step 2: Convert to fraction form
    1,798,577,786/2,697,857,769 = 2,697,857,769/x
  3. Step 3: Cross multiply
    1,798,577,786x = 2,697,857,769 × 2,697,857,769
  4. Step 4: Simplify right side
    1,798,577,786x = 7,278,436,541,753,657,344
  5. Step 5: Solve for x
    x = 7,278,436,541,753,657,344/1,798,577,786
  6. Step 6: Final answer
    x = 4,046,773,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.