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Finding the Third Proportional to 640,887 and 1,364,610

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Solution

The third proportional to 640,887 and 1,364,610 is: 2,905,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,887 : 1,364,610 = 1,364,610 : x
  2. Step 2: Convert to fraction form
    640,887/1,364,610 = 1,364,610/x
  3. Step 3: Cross multiply
    640,887x = 1,364,610 × 1,364,610
  4. Step 4: Simplify right side
    640,887x = 1,862,160,452,100
  5. Step 5: Solve for x
    x = 1,862,160,452,100/640,887
  6. Step 6: Final answer
    x = 2,905,598.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.