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Finding the Third Proportional to 1,707,415.03 and 3,656,902.78

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Solution

The third proportional to 1,707,415.03 and 3,656,902.78 is: 7,832,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,415.03 : 3,656,902.78 = 3,656,902.78 : x
  2. Step 2: Convert to fraction form
    1,707,415.03/3,656,902.78 = 3,656,902.78/x
  3. Step 3: Cross multiply
    1,707,415.03x = 3,656,902.78 × 3,656,902.78
  4. Step 4: Simplify right side
    1,707,415.03x = 13,372,937,951,513.98
  5. Step 5: Solve for x
    x = 13,372,937,951,513.98/1,707,415.03
  6. Step 6: Final answer
    x = 7,832,271.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.