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Finding the Third Proportional to 1,706,422.50 and 3,649,041

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Solution

The third proportional to 1,706,422.50 and 3,649,041 is: 7,803,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,422.50 : 3,649,041 = 3,649,041 : x
  2. Step 2: Convert to fraction form
    1,706,422.50/3,649,041 = 3,649,041/x
  3. Step 3: Cross multiply
    1,706,422.50x = 3,649,041 × 3,649,041
  4. Step 4: Simplify right side
    1,706,422.50x = 13,315,500,219,681
  5. Step 5: Solve for x
    x = 13,315,500,219,681/1,706,422.50
  6. Step 6: Final answer
    x = 7,803,167.28

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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.