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Finding the Third Proportional to 484,056 and 956,178

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Solution

The third proportional to 484,056 and 956,178 is: 1,888,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,056 : 956,178 = 956,178 : x
  2. Step 2: Convert to fraction form
    484,056/956,178 = 956,178/x
  3. Step 3: Cross multiply
    484,056x = 956,178 × 956,178
  4. Step 4: Simplify right side
    484,056x = 914,276,367,684
  5. Step 5: Solve for x
    x = 914,276,367,684/484,056
  6. Step 6: Final answer
    x = 1,888,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.