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Finding the Third Proportional to 762,549 and 1,643,287

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Solution

The third proportional to 762,549 and 1,643,287 is: 3,541,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,549 : 1,643,287 = 1,643,287 : x
  2. Step 2: Convert to fraction form
    762,549/1,643,287 = 1,643,287/x
  3. Step 3: Cross multiply
    762,549x = 1,643,287 × 1,643,287
  4. Step 4: Simplify right side
    762,549x = 2,700,392,164,369
  5. Step 5: Solve for x
    x = 2,700,392,164,369/762,549
  6. Step 6: Final answer
    x = 3,541,270.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.