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Finding the Third Proportional to 698,511 and 1,488,606

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Solution

The third proportional to 698,511 and 1,488,606 is: 3,172,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,511 : 1,488,606 = 1,488,606 : x
  2. Step 2: Convert to fraction form
    698,511/1,488,606 = 1,488,606/x
  3. Step 3: Cross multiply
    698,511x = 1,488,606 × 1,488,606
  4. Step 4: Simplify right side
    698,511x = 2,215,947,823,236
  5. Step 5: Solve for x
    x = 2,215,947,823,236/698,511
  6. Step 6: Final answer
    x = 3,172,387.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.