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Finding the Third Proportional to 640,128 and 1,400,784

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Solution

The third proportional to 640,128 and 1,400,784 is: 3,065,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,128 : 1,400,784 = 1,400,784 : x
  2. Step 2: Convert to fraction form
    640,128/1,400,784 = 1,400,784/x
  3. Step 3: Cross multiply
    640,128x = 1,400,784 × 1,400,784
  4. Step 4: Simplify right side
    640,128x = 1,962,195,814,656
  5. Step 5: Solve for x
    x = 1,962,195,814,656/640,128
  6. Step 6: Final answer
    x = 3,065,317.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.