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Finding the Third Proportional to 1,707,309.56 and 3,658,008.09

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Solution

The third proportional to 1,707,309.56 and 3,658,008.09 is: 7,837,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,309.56 : 3,658,008.09 = 3,658,008.09 : x
  2. Step 2: Convert to fraction form
    1,707,309.56/3,658,008.09 = 3,658,008.09/x
  3. Step 3: Cross multiply
    1,707,309.56x = 3,658,008.09 × 3,658,008.09
  4. Step 4: Simplify right side
    1,707,309.56x = 13,381,023,213,940.51
  5. Step 5: Solve for x
    x = 13,381,023,213,940.51/1,707,309.56
  6. Step 6: Final answer
    x = 7,837,490.93

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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.