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Finding the Third Proportional to 762,566 and 1,643,322

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Solution

The third proportional to 762,566 and 1,643,322 is: 3,541,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,566 : 1,643,322 = 1,643,322 : x
  2. Step 2: Convert to fraction form
    762,566/1,643,322 = 1,643,322/x
  3. Step 3: Cross multiply
    762,566x = 1,643,322 × 1,643,322
  4. Step 4: Simplify right side
    762,566x = 2,700,507,195,684
  5. Step 5: Solve for x
    x = 2,700,507,195,684/762,566
  6. Step 6: Final answer
    x = 3,541,342.25

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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.