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Finding the Third Proportional to 678,963 and 1,488,498

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Solution

The third proportional to 678,963 and 1,488,498 is: 3,263,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,963 : 1,488,498 = 1,488,498 : x
  2. Step 2: Convert to fraction form
    678,963/1,488,498 = 1,488,498/x
  3. Step 3: Cross multiply
    678,963x = 1,488,498 × 1,488,498
  4. Step 4: Simplify right side
    678,963x = 2,215,626,296,004
  5. Step 5: Solve for x
    x = 2,215,626,296,004/678,963
  6. Step 6: Final answer
    x = 3,263,250.42

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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.