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Finding the Third Proportional to 668,409 and 1,391,896

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Solution

The third proportional to 668,409 and 1,391,896 is: 2,898,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,409 : 1,391,896 = 1,391,896 : x
  2. Step 2: Convert to fraction form
    668,409/1,391,896 = 1,391,896/x
  3. Step 3: Cross multiply
    668,409x = 1,391,896 × 1,391,896
  4. Step 4: Simplify right side
    668,409x = 1,937,374,474,816
  5. Step 5: Solve for x
    x = 1,937,374,474,816/668,409
  6. Step 6: Final answer
    x = 2,898,486.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.