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Finding the Third Proportional to 602,827 and 1,288,562

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Solution

The third proportional to 602,827 and 1,288,562 is: 2,754,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,827 : 1,288,562 = 1,288,562 : x
  2. Step 2: Convert to fraction form
    602,827/1,288,562 = 1,288,562/x
  3. Step 3: Cross multiply
    602,827x = 1,288,562 × 1,288,562
  4. Step 4: Simplify right side
    602,827x = 1,660,392,027,844
  5. Step 5: Solve for x
    x = 1,660,392,027,844/602,827
  6. Step 6: Final answer
    x = 2,754,342.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.