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Finding the Third Proportional to 1,232,340 and 1,648,359

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Solution

The third proportional to 1,232,340 and 1,648,359 is: 2,204,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,340 : 1,648,359 = 1,648,359 : x
  2. Step 2: Convert to fraction form
    1,232,340/1,648,359 = 1,648,359/x
  3. Step 3: Cross multiply
    1,232,340x = 1,648,359 × 1,648,359
  4. Step 4: Simplify right side
    1,232,340x = 2,717,087,392,881
  5. Step 5: Solve for x
    x = 2,717,087,392,881/1,232,340
  6. Step 6: Final answer
    x = 2,204,819.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.