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Finding the Third Proportional to 2,698,501.75 and 5,845,407

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Solution

The third proportional to 2,698,501.75 and 5,845,407 is: 12,662,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,501.75 : 5,845,407 = 5,845,407 : x
  2. Step 2: Convert to fraction form
    2,698,501.75/5,845,407 = 5,845,407/x
  3. Step 3: Cross multiply
    2,698,501.75x = 5,845,407 × 5,845,407
  4. Step 4: Simplify right side
    2,698,501.75x = 34,168,782,995,649
  5. Step 5: Solve for x
    x = 34,168,782,995,649/2,698,501.75
  6. Step 6: Final answer
    x = 12,662,131.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.