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Finding the Third Proportional to 1,597,461.75 and 2,412,824.63

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Solution

The third proportional to 1,597,461.75 and 2,412,824.63 is: 3,644,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,461.75 : 2,412,824.63 = 2,412,824.63 : x
  2. Step 2: Convert to fraction form
    1,597,461.75/2,412,824.63 = 2,412,824.63/x
  3. Step 3: Cross multiply
    1,597,461.75x = 2,412,824.63 × 2,412,824.63
  4. Step 4: Simplify right side
    1,597,461.75x = 5,821,722,671,006.39
  5. Step 5: Solve for x
    x = 5,821,722,671,006.39/1,597,461.75
  6. Step 6: Final answer
    x = 3,644,358.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.