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Finding the Third Proportional to 613,518 and 1,432,905

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Solution

The third proportional to 613,518 and 1,432,905 is: 3,346,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,518 : 1,432,905 = 1,432,905 : x
  2. Step 2: Convert to fraction form
    613,518/1,432,905 = 1,432,905/x
  3. Step 3: Cross multiply
    613,518x = 1,432,905 × 1,432,905
  4. Step 4: Simplify right side
    613,518x = 2,053,216,739,025
  5. Step 5: Solve for x
    x = 2,053,216,739,025/613,518
  6. Step 6: Final answer
    x = 3,346,628.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.