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Finding the Third Proportional to 640,883 and 1,364,602

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Solution

The third proportional to 640,883 and 1,364,602 is: 2,905,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,883 : 1,364,602 = 1,364,602 : x
  2. Step 2: Convert to fraction form
    640,883/1,364,602 = 1,364,602/x
  3. Step 3: Cross multiply
    640,883x = 1,364,602 × 1,364,602
  4. Step 4: Simplify right side
    640,883x = 1,862,138,618,404
  5. Step 5: Solve for x
    x = 1,862,138,618,404/640,883
  6. Step 6: Final answer
    x = 2,905,582.79

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Why These Related Problems?

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