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Finding the Third Proportional to 762,626 and 1,643,464

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Solution

The third proportional to 762,626 and 1,643,464 is: 3,541,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,626 : 1,643,464 = 1,643,464 : x
  2. Step 2: Convert to fraction form
    762,626/1,643,464 = 1,643,464/x
  3. Step 3: Cross multiply
    762,626x = 1,643,464 × 1,643,464
  4. Step 4: Simplify right side
    762,626x = 2,700,973,919,296
  5. Step 5: Solve for x
    x = 2,700,973,919,296/762,626
  6. Step 6: Final answer
    x = 3,541,675.63

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Why These Related Problems?

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