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Finding the Third Proportional to 662,254 and 1,384,468

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Solution

The third proportional to 662,254 and 1,384,468 is: 2,894,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,254 : 1,384,468 = 1,384,468 : x
  2. Step 2: Convert to fraction form
    662,254/1,384,468 = 1,384,468/x
  3. Step 3: Cross multiply
    662,254x = 1,384,468 × 1,384,468
  4. Step 4: Simplify right side
    662,254x = 1,916,751,643,024
  5. Step 5: Solve for x
    x = 1,916,751,643,024/662,254
  6. Step 6: Final answer
    x = 2,894,284.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.