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Finding the Third Proportional to 640,724 and 1,409,348

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Solution

The third proportional to 640,724 and 1,409,348 is: 3,100,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,724 : 1,409,348 = 1,409,348 : x
  2. Step 2: Convert to fraction form
    640,724/1,409,348 = 1,409,348/x
  3. Step 3: Cross multiply
    640,724x = 1,409,348 × 1,409,348
  4. Step 4: Simplify right side
    640,724x = 1,986,261,785,104
  5. Step 5: Solve for x
    x = 1,986,261,785,104/640,724
  6. Step 6: Final answer
    x = 3,100,027.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.