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Finding the Third Proportional to 675,677 and 1,468,963

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Solution

The third proportional to 675,677 and 1,468,963 is: 3,193,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,677 : 1,468,963 = 1,468,963 : x
  2. Step 2: Convert to fraction form
    675,677/1,468,963 = 1,468,963/x
  3. Step 3: Cross multiply
    675,677x = 1,468,963 × 1,468,963
  4. Step 4: Simplify right side
    675,677x = 2,157,852,295,369
  5. Step 5: Solve for x
    x = 2,157,852,295,369/675,677
  6. Step 6: Final answer
    x = 3,193,615.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.