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Finding the Third Proportional to 577,410,797 and 1,244,960,986

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Solution

The third proportional to 577,410,797 and 1,244,960,986 is: 2,684,272,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,410,797 : 1,244,960,986 = 1,244,960,986 : x
  2. Step 2: Convert to fraction form
    577,410,797/1,244,960,986 = 1,244,960,986/x
  3. Step 3: Cross multiply
    577,410,797x = 1,244,960,986 × 1,244,960,986
  4. Step 4: Simplify right side
    577,410,797x = 1,549,927,856,662,092,288
  5. Step 5: Solve for x
    x = 1,549,927,856,662,092,288/577,410,797
  6. Step 6: Final answer
    x = 2,684,272,384.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.