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Finding the Third Proportional to 668,010 and 1,033,119

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Solution

The third proportional to 668,010 and 1,033,119 is: 1,597,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,010 : 1,033,119 = 1,033,119 : x
  2. Step 2: Convert to fraction form
    668,010/1,033,119 = 1,033,119/x
  3. Step 3: Cross multiply
    668,010x = 1,033,119 × 1,033,119
  4. Step 4: Simplify right side
    668,010x = 1,067,334,868,161
  5. Step 5: Solve for x
    x = 1,067,334,868,161/668,010
  6. Step 6: Final answer
    x = 1,597,782.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.