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Finding the Third Proportional to 1,637,205.75 and 3,444,071.06

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Solution

The third proportional to 1,637,205.75 and 3,444,071.06 is: 7,245,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,205.75 : 3,444,071.06 = 3,444,071.06 : x
  2. Step 2: Convert to fraction form
    1,637,205.75/3,444,071.06 = 3,444,071.06/x
  3. Step 3: Cross multiply
    1,637,205.75x = 3,444,071.06 × 3,444,071.06
  4. Step 4: Simplify right side
    1,637,205.75x = 11,861,625,483,549.88
  5. Step 5: Solve for x
    x = 11,861,625,483,549.88/1,637,205.75
  6. Step 6: Final answer
    x = 7,245,042.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.