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Finding the Third Proportional to 640,886 and 1,364,608

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Solution

The third proportional to 640,886 and 1,364,608 is: 2,905,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,886 : 1,364,608 = 1,364,608 : x
  2. Step 2: Convert to fraction form
    640,886/1,364,608 = 1,364,608/x
  3. Step 3: Cross multiply
    640,886x = 1,364,608 × 1,364,608
  4. Step 4: Simplify right side
    640,886x = 1,862,154,993,664
  5. Step 5: Solve for x
    x = 1,862,154,993,664/640,886
  6. Step 6: Final answer
    x = 2,905,594.74

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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.