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Finding the Third Proportional to 698,464 and 1,524,868

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Solution

The third proportional to 698,464 and 1,524,868 is: 3,329,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,464 : 1,524,868 = 1,524,868 : x
  2. Step 2: Convert to fraction form
    698,464/1,524,868 = 1,524,868/x
  3. Step 3: Cross multiply
    698,464x = 1,524,868 × 1,524,868
  4. Step 4: Simplify right side
    698,464x = 2,325,222,417,424
  5. Step 5: Solve for x
    x = 2,325,222,417,424/698,464
  6. Step 6: Final answer
    x = 3,329,051.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.