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Finding the Third Proportional to 668,004 and 1,033,122

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Solution

The third proportional to 668,004 and 1,033,122 is: 1,597,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,004 : 1,033,122 = 1,033,122 : x
  2. Step 2: Convert to fraction form
    668,004/1,033,122 = 1,033,122/x
  3. Step 3: Cross multiply
    668,004x = 1,033,122 × 1,033,122
  4. Step 4: Simplify right side
    668,004x = 1,067,341,066,884
  5. Step 5: Solve for x
    x = 1,067,341,066,884/668,004
  6. Step 6: Final answer
    x = 1,597,806.40

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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.