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Finding the Third Proportional to 647,240 and 1,400,464

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Solution

The third proportional to 647,240 and 1,400,464 is: 3,030,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,240 : 1,400,464 = 1,400,464 : x
  2. Step 2: Convert to fraction form
    647,240/1,400,464 = 1,400,464/x
  3. Step 3: Cross multiply
    647,240x = 1,400,464 × 1,400,464
  4. Step 4: Simplify right side
    647,240x = 1,961,299,415,296
  5. Step 5: Solve for x
    x = 1,961,299,415,296/647,240
  6. Step 6: Final answer
    x = 3,030,250.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.