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Finding the Third Proportional to 576,119,116 and 823,260,882

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Solution

The third proportional to 576,119,116 and 823,260,882 is: 1,176,420,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,119,116 : 823,260,882 = 823,260,882 : x
  2. Step 2: Convert to fraction form
    576,119,116/823,260,882 = 823,260,882/x
  3. Step 3: Cross multiply
    576,119,116x = 823,260,882 × 823,260,882
  4. Step 4: Simplify right side
    576,119,116x = 677,758,479,831,417,984
  5. Step 5: Solve for x
    x = 677,758,479,831,417,984/576,119,116
  6. Step 6: Final answer
    x = 1,176,420,745.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.